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ISSN 1088-9485(e) ISSN 0273-0979(p)

Marston Morse and his mathematical works

Author(s): Raoul Bott
Journal: Bull. Amer. Math. Soc. 3 (1980), 907-950.
MathSciNet review: 585177
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References:

1.: Marston Morse, Proof of a general theorem on the linear dependence of P analytic functions of a single variable, Bull. Amer. Math. Soc. 23 (1916), 114-117.
2.: Marston Morse, A one-to-one representation of geodesics on a surface of negative curvature, Amer. J. Math. 43 (1921), 33-51. MR 1506428
3.: Marston Morse, Recurrent geodesics on a surface of negative curvature, Trans. Amer. Math. Soc. 22 (1921), 84-110. MR 1501161
4.: Marston Morse, A fundamental class of geodesics on any closed surface of genus p greater than one, Trans. Amer. Math. Soc. 26 (1924), 25-61. MR 1501263
5.: Marston Morse, Relations between the critical points of a real function of n independent variables, Trans. Amer. Math. Soc. 27 (1925), 345-396. MR 1501318
6.: Marston Morse, The analysis and analysis situs of regular n-spreads in (n + s)-space, Proc. Nat. Acad. Sci. 13 (1927), 813-817.
7.: Marston Morse, The foundations of a theory of the calculus of variations in the large, Trans. Amer. Math. Soc. 30 (1928), 213-274. MR 1501428
8.: Marston Morse, Singular points of vector fields under general boundary conditions, Amer. J. Math. 51 (1929), 165-178. MR 1506710
9.: Marston Morse, The critical points of functions and the calculus of variations in the large, Bull. Amer. Math. Soc. 35 (1929), 38-54.
10.: Marston Morse, The foundations of the calculus of variations in the large in m-space (1st paper), Trans. Amer. Math. Soc. 31 (1929), 379-404. MR 1501489
11.: Marston Morse, Closed extremals, Proc. Nat. Acad. Sci. 15 (1929), 856-959.
12.: Marston Morse, The problems of Lagrange and Mayer under general end conditions, Proc. Nat. Acad. Sci. 16 (1930), 229-233.
13.: Marston Morse, A generalization of the Sturm-separation and comparison theorems in n-space, Math. Ann. 103 (1930), 52-69. MR 1512617
14.: Marston Morse, The critical points of a function of n variables, Proc. Nat. Acad. Sci. 16 (1930), 777-779.
15.: Marston Morse, The critical points of a function of n variables, Trans. Amer. Math. Soc. 33 (1931), 72-91. MR 1501576
16.: Marston Morse, The order of vanishing of the determinant of a conjugate base, Proc. Nat. Acad. Sci. 17 (1931), 319-320.
17.: Marston Morse, The problems of Lagrange and Mayer with variable endpoints, by M. Morse and Sumner Byron Myers, Proc. Amer. Acad. Arts and Sci. 66 (1931), 235-253.
18.: Marston Morse, Closed extremals (1st paper), Ann. of Math. (2) 32 (1931), 549-566. MR 1503016
19.: Marston Morse, Sufficient conditions in the problem of Lagrange with fixed endpoints, Ann. of Math. (2) 32 (1931), 567-577. MR 1503017
20.: Marston Morse, Sufficient conditions in the problem of Lagrange with variable end conditions, Amer. J. Math. 53 (1931), 517-546. MR 1507924
21.: Marston Morse, The foundations of a theory of the calculus of variations in the large in m-space (2nd paper), Trans. Amer. Math. Soc. 32 (1930), 599-631. MR 1501555
22.: Marston Morse, A characterization of fields in the calculus of variations, by M. Morse and S. B. Littauer, Proc. Nat. Acad. Sci. 18 (1932), 724-730.
23.: Marston Morse, The calculus of variations in the large, Verhandlungen des Internationalen Mathematiker-Kongresses Zürich, 1932, Vol. 1, pp. 173-188.
24.: Marston Morse, Does instability imply transitivity?, Proc. Nat. Acad. Sci. 20 (1934), 46-50.
25.: Marston Morse, On certain invariants of closed extremals, by M. Morse and Everett Pitcher, Proc. Nat Acad. Sci. 20 (1934), 282-287.
26.: Marston Morse, The critical point theory under general boundary conditions, by M. Morse and George Booth Van Schaack, Ann. of Math. (2) 35 (1934), 545-571. MR 1503179
27.: Marston Morse, Sufficient conditions in the problem of Lagrange without assumptions of normalcy, Trans. Amer. Math. Soc. 37 (1935), 147-160. MR 1501780
28.: Marston Morse, Instability and transitivity, Jour. de Mathématiques, Paris 14 (1935), 49-71.
29.: Marston Morse, Abstract critical sets, by M. Morse and George B. Van Schaack, Proc. Nat. Acad. Sci. 21 (1935), 258-263.
30.: Marston Morse, Generalized concavity theorems, Proc. Nat. Acad. Sci. 21 (1935), 359-362.
31.: Marston Morse, Three theorems on the envelope of extremals, Proc. Nat. Acad. Sci. 21 (1935), 619-621; Bull. Amer. Math. Soc. 42 (1936), 136-144.
32.: Marston Morse, Functional topology and abstract variational theory, Proc. Nat. Acad. Sci. 22 (1936), 313-319.
33.: Marston Morse, Critical point theory under general boundary conditions, by M. Morse and George B. Van Schaack, Duke Math. J. 2 (1936), 220-242. MR 1545920
34.: Marston Morse, Singular quadratic functionals, by M. Morse and Walter Leighton, Trans. Amer. Math. Soc. 40 (1936), 252-286. MR 1501873
35.: Marston Morse, A special parametrization of curves, Bull. Amer. Math. Soc. 42 (1936), 915-922.
36.: Marston Morse, Functional topology and abstract variational theory, Ann. of Math. (2) 38 (1937), 386-449. MR 1503341
37.: Marston Morse, The index theorem in the calculus of variations, Duke Math. J. 4 (1938), 231-246. MR 1546047
38.: Marston Morse, Functional topology and abstract variational theory, Proc. Nat. Acad. Sci. 24 (1938), 326-330.
39.: Marston Morse, Symbolic dynamics, by M. Morse and G. A. Hedlund, Amer. J. Math. 60 (1938), 815-866. MR 1507944
40.: Marston Morse, On the existence of minimal surfaces of general critical types, by M. Morse and C. B. Tompkins, Proc. Nat. Acad. Sci. 25 (1939), 153-158; Ann. of Math. (2) 40 (1939), 443-472. MR 1503471
41.: Marston Morse, Sur le calcul des variations, Ann. Inst. H. Poincaré 9 (1939), 1-11. MR 460
42.: Marston Morse, La dynamique symbolique, Bull. Soc. Math. France 67 (1939), 1-7.
43.: Marston Morse, Symbolic dynamics. II. Sturmian sequences, by M. Morse and G. A. Hedlund, Amer. J. Math. 61 (1940), 1-42.
44.: Marston Morse, Rank and span in functional topology, Ann. of Math. (2) 41 (1940), 419-454. MR 1927
45.: Marston Morse, The first variation in minimal surface theory, Duke Math. J. 6 (1940), 263-289. MR 2476
46.: Marston Morse, Twentieth century mathematics, Amer. Scholar 9 (1940), 499-504.
47.: Marston Morse, Unstable minimal surfaces of higher topological types, by M. Morse and C. B. Tompkins, Proc. Nat. Acad. Sci. 26 (1940), 713-716. MR 3481
48.: Marston Morse, A mathematical theory of equilibrium with applications to minimal surface theory, Science 93 (1941), 69-71. MR 6028
49.: Marston Morse, Minimal surfaces not of minimum type by a new mode of approximation, by M. Morse and C. B. Tompkins, Ann. of Math. (2) 42 (1941), 62-72. MR 3482
50.: Marston Morse, Corrections to our paper on the existence of minimal surfaces of general critical types, by M. Morse and C. B. Tompkins, Ann. of Math. (2) 42 (1941), 331. MR 3483
51.: Marston Morse, Mathematics in the defense program, by M. Morse and W. L. Hart, The Math. Teacher, May 1941, pp. 195-202.
52.: Marston Morse, Unstable minimal surfaces of higher topological structure, by M. Morse and C. B. Tompkins, Duke Math. J. 8 (1941), 350-375. MR 4744
53.: Marston Morse, The continuity of the area of harmonic surfaces as a function of the boundary representations, by M. Morse and C. B. Tompkins, Amer. J. Math. 63 (1941), 825-838. MR 6027
54.: Marston Morse, Report on the War Preparedness Committee of the AMS and MAA at the Chicago meeting, Bull. Amer. Math. Soc. 47 (1941), 829-831.
55.: Marston Morse, What is analysis in the large?, Amer. Math. Monthly 49 (1942), 358-364. MR 6351
56.: Marston Morse, Manifolds without conjugate points, by M. Morse and G. A. Hedlund, Trans. Amer. Math. Soc. 51 (1942), 362-386. MR 6479
57.: Marston Morse, Mathematics and the maximum scientific effort in total war, Scientific Monthly 56 (1943), 1-6. MR 497124
58.: Marston Morse, Variational theory in the large including the non-regular case, by M. Morse and George Ewing--First paper, Ann. of Math. (2) 44 (1943), 339-353; Second paper, Ann. of Math. (2) 44 (1943), 354-374. MR 10250
59.: Marston Morse, Functional topology, Bull. Amer. Math. Soc. 49 (1943), 144-149. MR 9102
60.: Marston Morse, Unending chess, symbolic dynamics and a problem in semigroups, by M. Morse and G. A. Hedlund, Duke Math. J. 11 (1944), 1-7. MR 9788
61.: Marston Morse, Topological methods in the theory of functions of a single complex variable: I. Deformation types of locally simple plane curves; II. Boundary values and integral characteristics of interior transformations and pseudoharmonic functions, by M. Morse and M. Heins, Ann. of Math. (2) 46 (1945), 600-624; 625-666; III. Causal isomorphisms in the theory of pseudoharmonic functions, Ann. of Math. (2) 47 (1946), 233-273. MR 16466
62.: Marston Morse, The topology of pseudoharmonic functions, Duke Math. J. 13 (1946), 21-42. MR 15626
63.: Marston Morse, George David Birkhoff and his mathematical work, Bull. Amer. Math. Soc. 52 (1946), 357-391. MR 16341
64.: Marston Morse, Topological methods in the theory of functions of a complex variable, by M. Morse and M. Heins, Bull. Amer. Math. Soc. 53 (1947), 1-15. MR 20129
65.: Marston Morse, Deformation classes of meromorphic functions and their extensions to interior transformations, by M. Morse and M. Heins, Acta Math. 79 (1947), 51-103. MR 20128
66.: Marston Morse, Functions on a metric space and a setting for isoperimetric problems, Studies and Essays, presented to R. Courant on his 60th birthday, January 8, 1948, pp. 253-263. Interscience Publishers Inc., New York, 1948. MR 22659
67.: Marston Morse, A positive, lower semicontinuous nondegenerate function on a metric space, Fund. Math. 35 (1948), 47-78. MR 28023
68.: Marston Morse, L-S-homotopy classes of locally simple curves, Ann. Soc. Polonaise Math. 21 (1948), 236-256. MR 31237
69.: Marston Morse, Equilibria in nature, stable and unstable, Proc. Amer. Philos. Soc. 93 (1949), 222-225. MR 29351
70.: Marston Morse, The Fréchet variation and the convergence of multiple Fourier series, by M. Morse and W. Transue, Proc. Nat. Acad. Sci. 35 (1949), 395-399. MR 30587
71.: Marston Morse, Integral representations of bilinear functionals, by M. Morse and W. Transue, Proc. Nat Acad. Sci. 35 (1949), 136-143. MR 29478
72.: Marston Morse, Functionals of bounded Fréchet variation, by M. Morse and W. Transue, Canad. J. Math. 1 (1949), 153-165. MR 29425
73.: Marston Morse, Functionals F bilinear over the product A x B of two p-normed vector spaces: I. The representation of F, by M. Morse and W. Transue, Ann. of Math. (2) 50 (1949), 777-815; II. Admissible spaces A, Ann. of Math. (2) 51 (1950), 576-614.
74.: Marston Morse, Les progrès de l'analyse variationnelle globale et son programme, Rendiconti di Matematica e delle sue applicazioni, Serie V, 70 (3) (4) (1948), 1-11.
75.: Marston Morse, Topological methods in the theory of functions of a complex variable, Ann. Matematica 28 (1949), 21-25. MR 35337
76.: Marston Morse, A characterization of the bilinear sum associated with the classical second variation, by M. Morse and W. Transue, Ann. Matematica 29 (1949), 25-68. MR 38579
77.: Marston Morse, L-S homotopy classes on the topological image of the projective plane, Bull. Amer. Math. Soc. 55 (1949), 981-1003. MR 33006
78.: Marston Morse, The Fréchet variation and a generalization for multiple Fourier series of the Jordan test, by M. Morse and W. Transue, Rivista di Matematica della Università di Parma 1 (1950), 1-16. MR 33907
79.: Marston Morse, The Fréchet variation sector limits, and left decompositions, by M. Morse with W. Transue, Canad. J. Math. (3) 2 (1950), 344-374. MR 37340
80.: Marston Morse, A calculus of Fréchet variations, by M. Morse with W. Transue, J. Indian Math. Soc. 14 (2) (3) (1950), 65-117. MR 39043
81.: Marston Morse, The Fréchet variation and Pringsheim convergence of double Fourier series, Contributions to Fourier Analysis, by M. Morse and W. Transue, Ann. Math. Studies, no. 25, Princeton Univ. Press, Princeton, N. J., 1950, pp. 46-103. MR 182026
82.: Marston Morse, Norms of distribution functions associated with bilinear functionals, by M. Morse and W. Transue, ibidem, pp. 104-144. MR 36940
83.: Marston Morse, Bilinear functionals over CXC, by M. Morse and W. Transue, Acta Sci. Math. 12 (1950), 41-48. MR 34528
84.: Marston Morse, Recent advances in variational theory in the large, Proc. Internat. Cong. Math. 2 (1950), 143-156. MR 44758
85.: Marston Morse, A new implication of the Young-Pollard convergence criteria for a Fourier series, by M. Morse and W. Transue, Duke Math. J. 18 (1951), 563-571. MR 47171
86.: Marston Morse, Trends in analysis, J. Franklin Inst. 251 (1951), 33-43. MR 38288
87.: Marston Morse, Mathematics and the arts, Yale Review 40 (1951), 604-612. 75th birthday of Robert Frost Essay given at Kenyon College.
88.: Marston Morse, Homology relations on regular orientable manifolds, Proc. Nat. Acad. Sci. 38 (1952), 247-258. MR 48031
89.: Marston Morse, Contour equivalent pseudoharmonic functions and pseudoconjugates, by M. Morse with J. Jenkins, Amer. J. Math. 74 (1952), 23-51. MR 48642
90.: Marston Morse, Homotopy and homology related to the Schoenflies problem, by M. Morse with E. Baiada, Ann. of Math. (2) 58 (1953), 142-165. MR 56922
91.: Marston Morse, Topological methods on Riemann surfaces. Pseudoharmonic functions, by M. Morse with J. Jenkins, Ann. of Math. Studies, no. 30, Princeton Univ. Press, Princeton, N. J., 1953, pp. 111-139. MR 57339
92.: Marston Morse, The existence of pseudoconjugates on Riemann surfaces, by M. Morse with J. Jenkins, Fund. Math. 39 (1953), 269-287. MR 57338
93.: Marston Morse, The generalized Fréchet variation and Riesz-Young-Hausdorff type theorems, by M. Morse with W. Transue, Rend. Circ. Math. Palermo, Serie II, Tome II (1953), 35 pp.
94.: Marston Morse, Conjugate nets, conformal structure, and interior transformations on open Riemann surfaces, by M. Morse with J. Jenkins, Proc. Nat. Acad. Sci. 39 (1953), 1261-1268. MR 58724
95.: Marston Morse, Conjugate nets on an open Riemann surface, by M. Morse with J. Jenkins, Proc. Univ. Michigan Conf., June 1953.
96.: Marston Morse, Curve families F* locally the level curves of a pseudoharmonic function, by M. Morse with J. Jenkins, Acta Math. 91 (1954), 42 pp. MR 62292
97.: Marston Morse, (With W. Transue) Semi-normed vector spaces with duals of integral type, J. Analyse Math. 4 (1954-1955), 149-186. MR 73677
98.: Marston Morse, Bimeasures and their integral extensions, Ann. Mat. Pura Appl. 39 (1955), 345-356. MR 75273
99.: Marston Morse, (With W. Transue) C-bimeasures Λ and their superior integrals Λ*, Rend. Circ. Math. Palermo 4 (1955), 270-300. MR 86115
100.: Marston Morse, (With W. Transue) The representation of a C-bimeasure on a general rectangle, Proc. Nat Acad. Sci. 42 (1956), 89-95. MR 75274
101.: Marston Morse, La construction topologique d'un réseau isotherme sur une surface ouverte, J. Math. Pures Appl. 35 (1956), 67-75. MR 77648
102.: Marston Morse, (With W. Transue) C-bimeasures Λ and their integral extensions, Ann. of Math. (2) 64 (1956), 480-504. MR 86116
103.: Marston Morse, (With W. Transue) Products of a C-measure and a locally integrable mapping, Canad. J. Math. 9 (1957), 475-486. MR 91982
104.: Marston Morse, Differentiable mappings in the Schoenflies problem, Proc. Nat. Acad. Sci. 44 (1958), 1068-1072. MR 110108
105.: Marston Morse, (With W. Transue) Vector subspaces A of C, J. Math. 37 (1958), 44-363. MR 99583
106.: Marston Morse, (With W. Transue) The existence of vector function spaces with duals of integral type, Colloq. Math. 6 (1958), 95-117. MR 101998
107.: Marston Morse, (With W. Transue) The local characterization of vector function spaces with duals of integral type, J. Analyse Math. 6 (1958), 225-260. MR 101997
108.: Marston Morse, Mathematics and the arts, Bull. of the Atomic Scientists 15 (1959), 55-59 (Yale Rev. 1951). MR 497417
109.: Marston Morse, Mathematics, the arts and freedom, Thought (Fordham Univ. Quarterly) 34 (1959), 16-24.
110.: Marston Morse, Differentiable mappings in the Schoenflies theorem, Comp. Math. 14 (1959), 83-151. MR 110109
111.: Marston Morse, Topologically nondegenerate functions on a compact n-manifold M, J. Analyse Math. 7 (1959), 189-208. MR 113233
112.: Marston Morse, Fields of geodesics issuing from a point, Proc. Nat. Acad. Sci. 46 (1960), 105-111. MR 113231
113.: Marston Morse, The existence of polar nondegenerate functions on differentiable manifolds, Ann of Math. (2) 71 (1960), 352-383. MR 113232
114.: Marston Morse, A reduction of the Schoenflies extension problem, Bull. Amer. Math. Soc. 66 (1960), 113-115. MR 117694
115.: Marston Morse, The existence of nondegenerate functions on a compact differentiable m-manifold M, Ann. Mat. Pura Appl. 49 (1960), 117-128. MR 120650
116.: Marston Morse, Recurrent geodesics on a surface of negative curvature, Trans. Amer. Math. Soc. 22 (1921), 84-110. (Multilithed with Historical Note, 1960.) MR 1501161
117.: Marston Morse, (With W. Huebsch) An explicit solution of the Schoenflies extension problem, J. Math. Soc. Japan 12 (1960), 271-289. MR 206928
118.: Marston Morse, (With W. Huebsch) A singularity in the Schoenflies extension, Proc. Nat. Acad. Sci. 46 (1960), 1100-1102. MR 119213
119.: Marston Morse, On elevating manifold differentiability, J. Indian Math. Soc. 24 (1960), 379-400. MR 141135
120.: Marston Morse, (With W. Huebsch) The dependence of the Schenflies extension on an accessory parameter, J. Analyse Math. 8 (1960-1961), 209-271. MR 145547
121.: Marston Morse, (With W. Huebsch) Abstracts: A characterization of an analytic n-ball, and A. Schoenflies extension of a real analytic diffeomorphism of S into W. (Multilithed April 17, 1961.)
122.: Marston Morse, Boundary values of partial derivatives of Poisson integral, Ann. Acad. Brasil. Ci. 33 (1961), 131-139. MR 164052
123.: Marston Morse, (With W. Huebsch) Conical singular points of diffeomorphisms, Bull. Amer. Math. Soc. 67 (1961), 490-493. MR 145548
124.: Marston Morse, (With W. Huebsch) Schoenflies extensions of analytic families of diffeomorphisms, Math. Ann. 144 (1961), 162-174. MR 133835
125.: Marston Morse, (With W. Huebsch) The Schoenflies extension in the analytic case, Ann. Mat. Pura Appl. 54 (1961), 359-378. MR 144353
126.: Marston Morse, Schoenflies problems, Fund. Math. 50 (1962), 319-332. MR 148082
127.: Marston Morse, (With W. Huebsch) Schoenflies extensions without interior differential singularities, Ann. of Math. (2) 76 (1962), 18-54. MR 146847
128.: Marston Morse, Topological, differential, and analytic formulations of Schoenflies problems, Rend. Circ. Mat. Palermo 21 (1962), 286-295. (Lecture delivered in Rome, April 1962.) MR 154295
129.: Marston Morse, (With W. Huebsch) Analytic diffeomorphisms approximating C, Rend. Circ. Mat. Palermo 11 (1962), 1-22.
130.: Marston Morse, (With W. Huebsch) Diffeomorphisms of manifolds, Rend. Circ. Mat. Palermo 11 (1962), 1-28. MR 172297
131.: Marston Morse, Schoenflies extensions and differentiable isotopies, J. Mat. Pures Appl. 42 (1963), 29-41. MR 149497
132.: Marston Morse, An arbitrarily small analytic mapping into R, Rendi. Sci. Ist Lombardo, Milano (A) 97 (1963), 650-660. MR 177364
133.: Marston Morse, Harmonic extensions, Monatsh. Math. 67 (1963), 317-325. MR 158088
134.: Marston Morse, (With W. Huebsch) The dependence of the Shoenflies extension on an accessory parameter (the topological case), Proc. Nat. Acad. Sci. 50 (1963), 1036-1037. MR 182957
135.: Marston Morse, (With W. Huebsch) The bowl theorem and a model nondegenerate function, Proc. Nat. Acad. Sci. 51 (1964), 49-51. MR 160245
136.: Marston Morse, (With W. Huebsch) Conditioned differentiable isotopies, Differential Analysis Colloq., Bombay, India, 1964, pp. 1-25. MR 185603
137.: Marston Morse, The elimination of critical points of a nondegenerate function on a differentiable manifold, J. Analyse Math. 13 (1964), 257-316. MR 184256
138.: Marston Morse, Bowls, f-fibre bundles and the alteration of critical values, Ann. Acad. Brasil. Ci. 36 (1964), 245-259. MR 178478
139.: Marston Morse, Bowls of a nondegenerate function on a compact differentiable manifold, Differential and Combinatorial Topology, Princeton Univ. Press, Princeton, N. J., 1965, pp. 81-103. (Symposium in honor of M. Morse.) MR 182026
140.: Marston Morse, Quadratic forms Θ and Θ-fibre bundles, Ann. of Math. (2) 81 (1965), 303-340. MR 173272
141.: Marston Morse, (With W. Huebsch), A model nondegenerate function, Revue Roumaine Math. Pures Appl. 10 (1965), 691-722. MR 206985
142.: Marston Morse, The reduction of a function near a nondegenerate critical point, Proc. Nat. Acad. Sci. 54 (1965), 1759-1764. MR 189056
143.: Marston Morse, Projective methods (in photogrammetry), Photogrammetric Engineering, Sept. 1966, pp. 849-855.
144.: Marston Morse, (With J. Cantwell) Diffeomorphism including automorphisms of π₁(T), Topology 4 (1966), 323-341.
145.: Marston Morse, Nondegenerate functions on abstract differentiable manifolds M, J. Analyse Math. 19 (1967), 231-272. MR 216515
146.: Marston Morse, Nondegenerate real-valued differentiable functions, Proc. Nat Acad. Sci. 57 (1967), 32-38. MR 206976
147.: Marston Morse, Focal sets of regular manifolds M, J. Differential Geometry 1 (1967), 1-19.
148.: Marston Morse, Bowls, f-fiber bundles and the alteration of critical values, Proc. Nat. Acad. Sci. 60 (1968), 1156-1159. MR 231408
149.: Marston Morse, (With S. S. Cairns) Singular homology over Z on topological manifolds, J. Differential Geometry 3 (1969), 257-288. MR 270375
150.: Marston Morse, (With S. S. Cairns) A setting for a theorem of Bott, Proc. Nat Acad. Sci. 65 (1970), 8-9. MR 253372
151.: Marston Morse, Mathematics in our culture, The Spirit and the Uses of the Mathematical Sciences by T. L. Saaty and F. J. Weyl, McGraw-Hill, New York, 1969, pp. 105-120.
152.: Marston Morse, Equilibrium points of harmonic potentials, J. Analyse Math. 23 (1970), 281-296. MR 277737
153.: Marston Morse, (With S. S. Cairns) Elementary quotients of abelian groups, and singular homology on manifolds, Nagoya Math. J. 39 (1970), 167-198. MR 265457
154.: Marston Morse, Subordinate quadratic forms and their complementary forms, Proc. Nat. Acad. Sci. 68 (1971), 579. MR 287558
155.: Marston Morse, Model families of quadratic forms. Proc. Nat. Acad. Sci. 68 (1971), 914-915. MR 284457
156.: Marston Morse, (With S. S. Cairns) Orientation of differentiable manifolds, J. Differential Geometry 6 (1971), 1-31. (Dedicated to S. S. Chern and D. C. Spencer.) MR 331415
157.: Marston Morse, Subordinate quadratic forms and their complementary forms, Rev. Roumaine Math. Pures Appl. 16 (1971), 559-569. MR 308050
158.: Marston Morse, (With S. S. Cairns) Singular homology on an untriangulated manifold, J. Differential Geometry 7 (1972), 1-17. MR 368016
159.: Marston Morse, Axial presentations of regular arcs on M_n, Proc. Nat. Acad. Sci. 69 (1972), 3504-3505. MR 321118
160.: Marston Morse, Singular quadratic functionals, Math. Ann. 201 (1973), 315-340. MR 343150
161.: Marston Morse, F-deformations and F-tractions, Proc. Nat. Acad. Sci. 70 (1973), 1634-1635. MR 321098
162.: Marston Morse, Fréchet curve classes, J. Math. Pures Appl. 53 (1974), 291-298. MR 365622
163.: Marston Morse, Singleton critical values, Bull. Inst. Math. Acad. Sinica 2 (1974), 317-333. MR 356092
164.: Marston Morse, (With D. Landis) Geodesic joins and Fréchet curve classes, Rend. Mat. 8 (1975), 161-185. MR 397783
165.: Marston Morse, Connectivities R, Proc. Nat. Acad. Sci. 72 (1975), 2069-2070. MR 440607
166.: Marston Morse, Topologically nondegenerate functions, Fund. Math. 88 (1975), 17-52. MR 418128
167.: Marston Morse, (With D. Landis) Tractions in critical point theory, Rocky Mountain J. Math. 5 (1975), 379-399. MR 383458
168.: Marston Morse, Fréchet numbers in global variational analysis, Houston J. Math. 2 (1976), 387-403. MR 420702
169.: Marston Morse, (With S. S. Cairns) Fréchet numbers and geodesics on surfaces, Bull. Inst. Math. Acad. Sinica 4 (1976), 7-34. MR 407888
170.: Marston Morse, Conjugate points on a limiting extremal, Proc. Nat. Acad. Sci. 73 (1976), 1800-1801. MR 405497
171.: Marston Morse, Extremal limits of nondegenerate extremals, Rend. Mat. 9 (1976), 621-632. MR 436208
172.: Marston Morse, Tubular presentations π of subsets of manifolds, Proc. Nat. Acad. Sci. 74 (1977), 2209-2210.
173.: Marston Morse, Nondegenerate point pairs in global variational analysis, J. Differential Geometry 11 (1976), 617-632. MR 455025
174.: Marston Morse, Uses of the Fréchet numbers R, Houston J. Math. 3 (1977), 503-513. MR 467811
175.: Marston Morse, Lacunary type number sequence in global analyses, J. Math. Pures Appl. 57 (1978), 87-98. MR 497124
176.: Marston Morse, The Fréchet numbers of the differentiable product of two compact converted smooth manifolds, Edited and completed by S. S. Cairns, Univ. of Illinois, for Marston Morse memorial issue of Bull, of Institute of Math. Acad. Sinica, Vol. VI, No. 2, October 1978. MR 512338
1.: Marston Morse, Calculus of variations in the large, Amer. Math. Soc. Colloq. Publ., no. 18, Amer. Math. Soc., Providence, R. I., 1934. (Address: P. O. Box 6248, Providence, R. I., 02904.) MR 1451874
2.: Marston Morse, Functional topology and abstract variational theory, Mémorial des Sciences Mathématiques 92, Gauthier-Villars, Paris, 1939.
3.: Marston Morse, Topological methods in the theory of functions of a complex variable, Princeton Univ. Press, Princeton, N. J., 1947. (Paperback available from Kraus Reprint Co., 16 E. 46th St., New York, N. Y. 10017.) MR 21089
4.: Marston Morse, Symbolic dynamics, Lectures of 1938 with New Preface, 1966, 87 pp. (Notes by R. Oldenburger.) University Microfilms, 300 N. Zeeb Road, Ann Arbor, Mich. 48106.
5.: Marston Morse, (With S. S. Cairns) Critical point theory in global analysis and differential topology, Academic Press, New York, 1969. MR 245046
6.: Marston Morse, Variational analysis: Critical extremals and Sturmian extensions, Wiley, New York, 1973. MR 420368
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Additional Information:

DOI: 10.1090/S0273-0979-1980-14824-7
PII: S 0273-0979(1980)14824-7

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