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Solomon Lefschetz. An appreciation in memoriam
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Bull. Amer. Math. Soc. 79 (1973), 663-680
References
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  • Solomon Lefschetz, A page of mathematical autobiography, Bull. Amer. Math. Soc. 74 (1968), 854–879. MR 240803, DOI 10.1090/S0002-9904-1968-12059-2
  • Solomon Lefschetz, On the existence of loci with given singularities, Trans. Amer. Math. Soc. 14 (1913), no. 1, 23–41. MR 1500934, DOI 10.1090/S0002-9947-1913-1500934-0
  • Solomon Lefschetz, On Some Topological Properties of Plane Curves and a Theorem of Möbius, Amer. J. Math. 35 (1913), no. 2, 189–200. MR 1506181, DOI 10.2307/2370281
  • S. Lefschetz, Geometry on Ruled Surfaces, Amer. J. Math. 36 (1914), no. 4, 392–394. MR 1506231, DOI 10.2307/2370371
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  • S. Lefschetz, The arithmetic genus of an algebraic manifold immersed in another, Ann. of Math. (2) 17 (1916), no. 4, 197–212. MR 1503582, DOI 10.2307/2007207
  • S. Lefschetz, A Direct Proof of De Moivre’s Formula, Amer. Math. Monthly 23 (1916), no. 10, 366–368. MR 1518644, DOI 10.2307/2971824
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  • Solomon Lefschetz, On certain numerical invariants of algebraic varieties with application to abelian varieties, Trans. Amer. Math. Soc. 22 (1921), no. 3, 327–406. MR 1501178, DOI 10.1090/S0002-9947-1921-1501178-3
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  • Solomon Lefschetz, A page of mathematical autobiography, The Lefschetz centennial conference, Part I (Mexico City, 1984) Contemp. Math., vol. 58, Amer. Math. Soc., Providence, RI, 1986, pp. 1–26. MR 860401, DOI 10.1090/conm/058.1/860401
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  • Solomon Lefschetz, Intersections and transformations of complexes and manifolds, Trans. Amer. Math. Soc. 28 (1926), no. 1, 1–49. MR 1501331, DOI 10.1090/S0002-9947-1926-1501331-3
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  • Solomon Lefschetz, Manifolds with a boundary and their transformations, Trans. Amer. Math. Soc. 29 (1927), no. 2, 429–462. MR 1501397, DOI 10.1090/S0002-9947-1927-1501397-1
  • S. Lefschetz, Correspondences between algebraic curves, Ann. of Math. (2) 28 (1926/27), no. 1-4, 342–354. MR 1502787, DOI 10.2307/1968379
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  • S. Lefschetz, A Theorem on Correspondences on Algebraic Curves, Amer. J. Math. 50 (1928), no. 2, 159–166. MR 1506663, DOI 10.2307/2371753
  • S. Lefschetz, Closed point sets on a manifold, Ann. of Math. (2) 29 (1927/28), no. 1-4, 232–254. MR 1502836, DOI 10.2307/1967998
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  • S. Lefschetz, On transformations of closed sets, Ann. of Math. (2) 31 (1930), no. 2, 271–280. MR 1502941, DOI 10.2307/1968097
  • Solomon Lefschetz, On compact spaces, Ann. of Math. (2) 32 (1931), no. 3, 521–538. MR 1503014, DOI 10.2307/1968249
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  • S. Lefschetz, On separable spaces, Ann. of Math. (2) 33 (1932), no. 3, 525–537. MR 1503074, DOI 10.2307/1968533
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  • S. Lefschetz and J. H. C. Whitehead, On analytical complexes, Trans. Amer. Math. Soc. 35 (1933), no. 2, 510–517. MR 1501698, DOI 10.1090/S0002-9947-1933-1501698-X
  • S. Lefschetz, On Generalized Manifolds, Amer. J. Math. 55 (1933), no. 1-4, 469–504. MR 1506980, DOI 10.2307/2371146
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  • S. Lefschetz, On locally connected and related sets, Ann. of Math. (2) 35 (1934), no. 1, 118–129. MR 1503148, DOI 10.2307/1968124
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  • S. Lefschetz, On critical sets, Duke Math. J. 1 (1935), no. 3, 392–412. MR 1545885, DOI 10.1215/S0012-7094-35-00127-2
  • S. Lefschetz, On locally-connected and related sets. (Second paper), Duke Math. J. 2 (1936), no. 3, 435–442. MR 1545934, DOI 10.1215/S0012-7094-36-00234-X
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  • Solomon Lefschetz, The early development of algebraic topology, Bol. Soc. Brasil. Mat. 1 (1970), no. 1, 1–48. MR 326703, DOI 10.1007/BF02628194
  • Solomon Lefschetz, Algebraic geometry, Princeton University Press, Princeton, N. J., 1953. MR 0056950, DOI 10.1515/9781400876686
  • Solomon Lefschetz, Witold Hurewicz, in memoriam, Bull. Amer. Math. Soc. 63 (1957), 77–82. MR 85992, DOI 10.1090/S0002-9904-1957-10101-3
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  • S. Lefschetz, On chains of topological spaces, Ann. of Math. (2) 39 (1938), no. 2, 383–396. MR 1503415, DOI 10.2307/1968794
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  • Solomon Lefschetz, Abstract complexes, Lectures in Topology, University of Michigan Press, Ann Arbor, Mich., 1941, pp. 1–28. MR 0005296
  • Solomon Lefschetz, Algebraic Topology, American Mathematical Society Colloquium Publications, Vol. 27, American Mathematical Society, New York, 1942. MR 0007093, DOI 10.1090/coll/027
  • Solomon Lefschetz, Topics in Topology, Annals of Mathematics Studies, No. 10, Princeton University Press, Princeton, N. J., 1942. MR 0007094
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  • S. Lefschetz, Existence of periodic solutions for certain differential equations, Proc. Nat. Acad. Sci. U.S.A. 29 (1943), 29–32. MR 7462, DOI 10.1073/pnas.29.1.29
  • Solomon Lefschetz, Lectures on Differential Equations, Annals of Mathematics Studies, No. 14, Princeton University Press, Princeton, N. J.; Oxford University Press, London, 1946. MR 0016788
  • Solomon Lefschetz, Introduction to Topology, Princeton Mathematical Series, vol. 11, Princeton University Press, Princeton, N. J., 1949. MR 0031708, DOI 10.1515/9781400879946
  • A. A. Andronow and C. E. Chaikin, Theory of Oscillations, Princeton University Press, Princeton, N. J., 1949. English Language Edition Edited Under the Direction of Solomon Lefschetz. MR 0029027
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  • S. Lefschetz, The structure of mathematics, Amer. Sci. 38 (1950), 105–111. MR 32543
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  • Solomon Lefschetz, Notes on differential equations, Contributions to the Theory of Nonlinear Oscillations, vol. II, Princeton University Press, Princeton, N.J., 1952, pp. 61–73. MR 0051992
  • Solomon Lefschetz, Stability of nonlinear control systems, Mathematics in Science and Engineering, Vol. 13, Academic Press, New York-London, 1965. MR 0175676
  • [94] Solomon Lefschetz, Algunos trabajos recientes sobre ecuaciones diferenciales, Memoria de Congreso Cientifico Mexicano, vol. 1, U. N. A. M., Mexico, pp. 122-123. [95] Solomon Lefschetz, Las grades corrientes en las matemáticas del siglo XX, Memoria de Congreso Cientifico Mexicano, vol. 1, U. N. A. M., Mexico, pp. 206-211.
  • S. Lefschetz, Russian contributions to differential equations, Proceedings of the Symposium on Nonlinear Circuit Analysis, New York, 1953, Polytechnic Institute of Brooklyn, New York, N.Y., 1953, pp. 68–74. MR 0065446
  • Solomon Lefschetz, Complete families of periodic solutions of differential equations, Comment. Math. Helv. 28 (1954), 341–345. MR 68061, DOI 10.1007/BF02566940
  • S. Lefschetz, On Liénard’s differential equation, Proceedings of Symposia in Applied Mathematics, Vol. V, Wave motion and vibration theory, McGraw-Hill Book Company, Inc., New York-Toronto-London, 1954, pp. 149–153. MR 0062306
  • Solomon Lefschetz, On a theorem of Bendixson, Bol. Soc. Mat. Mexicana (2) 1 (1956), 13–27. MR 82003
  • [100] Solomon Lefschetz, Topology, 2nd ed., Chelsea, New York. (Cf. [45]).
  • Solomon Lefschetz, On coincidences of transformations, Bol. Soc. Mat. Mexicana (2) 2 (1957), 16–25. MR 94808
  • Solomon Lefschetz, The ambiguous case in planar differential systems, Bol. Soc. Mat. Mexicana (2) 2 (1957), 63–74. MR 104031
  • Solomon Lefschetz, Witold Hurewicz, in memoriam, Bull. Amer. Math. Soc. 63 (1957), 77–82. MR 85992, DOI 10.1090/S0002-9904-1957-10101-3
  • Solomon Lefschetz, The early development of algebraic topology, Bol. Soc. Brasil. Mat. 1 (1970), no. 1, 1–48. MR 326703, DOI 10.1007/BF02628194
  • Solomon Lefschetz, Differential equations: Geometric theory, 2nd ed., Pure and Applied Mathematics, Vol. VI, Interscience Publishers (a division of John Wiley & Sons, Inc.), New York-London, 1963. MR 0153903
  • Solomon Lefschetz, On the critical points of a class of differential equations, Contributions to the theory of nonlinear oscillations, Vol. IV, Annals of Mathematics Studies, no. 41, Princeton University Press, Princeton, N.J., 1958, pp. 19–28. MR 0104032
  • Solomon Lefschetz, Liapunov and stability in dynamical systems, Bol. Soc. Mat. Mexicana (2) 3 (1958), 25–39. MR 98223
  • [108] Solomon Lefschetz, The stability theory of Liapunov, Lecture Series, no. 37, University Institute for Fluid Dynamics and Applied Mathematics, College Park, Md.
  • Solomon Lefschetz, Controls: an application of the direct method of Liapunov, Bol. Soc. Mat. Mexicana (2) 5 (1960), 139–143. MR 132894
  • Solomon Lefschetz, On automatic controls, IRE Trans. CT-7 (1960), 474–475. MR 0120109
  • Solomon Lefschetz, New results on critical cases in differential equations, Rev. Un. Mat. Argentina 20 (1962), 122–124 (Spanish). MR 149020
  • Solomon Lefschetz, The critical case in differential equations, Bol. Soc. Mat. Mexicana (2) 6 (1961), 5–18. MR 133523
  • [113] Solomon Lefschetz, Geometricheskaia teoriia differentsial’nykh Uravnenii, IL, Moscow. (Transl. of [105]). MR 22 #12257. [114] Solomon Lefschetz, (with J. P. LaSalle), Stability by Liapunov’ s direct method, Math. in Sci. and Engineering, vol. 4, Academic Press, New York. MR 24 #A2712.
  • Joseph P. LaSalle and Solomon Lefschetz, Recent Soviet contributions to ordinary differential equations and nonlinear mechanics, J. Math. Anal. Appl. 2 (1961), 467–499. MR 124993, DOI 10.1016/0022-247X(61)90024-5
  • Solomon Lefschetz, Differential equations: Geometric theory, 2nd ed., Pure and Applied Mathematics, Vol. VI, Interscience Publishers (a division of John Wiley & Sons, Inc.), New York-London, 1963. MR 0153903
  • J. P. LaSalle and S. Lefschetz (eds.), Recent Soviet contributions to mathematics, The Macmillan Company, New York, 1962. MR 0167383
  • S. Lefschetz, On indirect automatic controls, Analytic methods in the theory of non-linear vibrations (Proc. Internat. Sympos. Non-linear Vibrations, Vol. I, 1961) Izdat. Akad. Nauk Ukrain. SSR, Kiev, 1963, pp. 23–24 (English, with Russian summary). MR 0158790
  • Solomon Lefschetz, Some mathematical considerations on nonlinear automatic controls, Contributions to Differential Equations 1 (1963), 1–28. MR 155068
  • [120] Solomon Lefschetz, Elementos de topologia, Universidad Nacional Autónoma de México.
  • International Symposium on Nonlinear Differential Equations and Nonlinear Mechanics, Academic Press, New York-London, 1963. MR 0146430
  • [122] Solomon Lefschetz, Stability of nonlinear automatic control systems, Math, in Sci. and Engineering, vol. 13, Academic Press. MR 30 #5860.
  • Solomon Lefschetz, Liapunov stability and controls, J. SIAM Control Ser. A 3 (1965), 1–6. MR 197198, DOI 10.1137/0303001
  • Solomon Lefschetz, Planar graphs and related topics, Proc. Nat. Acad. Sci. U.S.A. 54 (1965), 1763–1765. MR 189011, DOI 10.1073/pnas.54.6.1763
  • Solomon Lefschetz, Recent advances in the stability of nonlinear controls, SIAM Rev. 7 (1965), 1–12. MR 179438, DOI 10.1137/1007001
  • Solomon Lefschetz, Some applications of topology to networks, Proc. Third Annual Allerton Conf. on Circuit and System Theory, Univ. Illinois, Urbana, Ill., 1965, pp. 1–6. MR 0247958
  • [127] Solomon Lefschetz, Stability in dynamics, William Pierson Field Engineering Lectures, March 3, 4, 10, 11, 1966, Princeton University School of Engineering and Applied Science. [127a] Solomon Lefschetz, (with J. P. LaSalle), Zarys teorii stabilności Lapunowa i jego metody bezpośredniej (Polish) (Transl. of [114]). MR 33 #6051.
  • S. Lefšec, Ustoĭchivost′nelineĭnykh sistem avtomaticheskogo upravleniya, Izdat. “Mir”, Moscow, 1967 (Russian). Appendix B by Kenneth Meyer; Translated from the English by È. L. Nappel′baum. MR 0226133
  • Solomon Lefschetz, Geometric differential equations: Recent past and proximate future, Differential Equations and Dynamical Systems (Proc. Internat. Sympos., Mayaguez, P.R., 1965) Academic Press, New York, 1967, pp. 1–14. MR 0222385
  • Solomon Lefschetz, On a theorem of Bendixson, J. Differential Equations 4 (1968), 66–101. MR 219800, DOI 10.1016/0022-0396(68)90049-1
  • Solomon Lefschetz, A page of mathematical autobiography, Bull. Amer. Math. Soc. 74 (1968), 854–879. MR 240803, DOI 10.1090/S0002-9904-1968-12059-2
  • Solomon Lefschetz, The Lurie problem on nonlinear controls, Lectures in Differential Equations, Vol. I, Van Nostrand Reinhold, New York, 1969, pp. 9–19. MR 0242526
  • Solomon Lefschetz, The early development of algebraic geometry, Amer. Math. Monthly 76 (1969), 451–460. MR 242828, DOI 10.2307/2316951
  • [133] Solomon Lefschetz, Luther Pfahler Eisenhart, 1876-1965: A biographical memoir, Nat. Acad. Sci. U. S. A., Biographical Memoirs 40: 69-90.
  • Solomon Lefschetz, Severi’s theory of the base for an algebraic surface, J. Analyse Math. 23 (1970), 215–225. MR 276234, DOI 10.1007/BF02795501
  • [135] Solomon Lefschetz, Selected topics in algebraic geometry, Chelsea, New York. [136] Solomon Lefschetz, Selected papers, Chelsea, New York (Contains articles identified by *).
Additional Information
  • Journal: Bull. Amer. Math. Soc. 79 (1973), 663-680
  • DOI: https://doi.org/10.1090/S0002-9904-1973-13256-2
  • MathSciNet review: 0316207