James Waddell Alexander 1888-1971

Cohen, Leon W.

doi:10.1090/S0002-9904-1973-13253-7

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ISSN 1088-9485(online) ISSN 0273-0979(print)

James Waddell Alexander 1888-1971

Author: Leon W. Cohen
Journal: Bull. Amer. Math. Soc. 79 (1973), 900-903
MathSciNet review: 0316205
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References | Additional Information

1. O. Veblen and J. W. Alexander, Manifolds of n dimensions, Ann. of Math. (2) 14 (1913), 163-178.
2. O. Veblen and J. W. Alexander, Manifolds of n dimensions, Bull. Amer. Math. Soc. 19 (1912/13), 391.
3. J. W. Alexander, Proof of invariances of certain constants of analysis situs, Bull. Amer. Math. Soc. 20 (1913/14), 168.
4. J. W. Alexander, Sur les cycles des surfaces algébriques et sur une définition topologique de l'invariant de Zeuthen-Segre, Rom. Accad. Lincei Rend. 23 (1914), 55-62.
5. J. W. Alexander II, A proof of the invariance of certain constants of analysis situs, Trans. Amer. Math. Soc. 16 (1915), no. 2, 148–154. MR 1501007, http://dx.doi.org/10.1090/S0002-9947-1915-1501007-5
6. J. W. Alexander, Normal forms for one- and two-sided surfaces, Ann. of Math. (2) 16 (1915), 158-161.
7. J. W. Alexander, Functions which map the interior of the unit circle upon simple regions, Ann. of Math. (2) 17 (1915), no. 1, 12–22. MR 1503516, http://dx.doi.org/10.2307/2007212
8. J. W. Alexander, Some generalizations of the Jordan theorem, Bull. Amer. Math. Soc. 22 (1916), 492.
9. James W. Alexander, On the factorization of Cremona plane transformations, Trans. Amer. Math. Soc. 17 (1916), no. 3, 295–300. MR 1501043, http://dx.doi.org/10.1090/S0002-9947-1916-1501043-X
10. J. W. Alexander, Note on two three-dimensional manifolds with the same group, Trans. Amer. Math. Soc. 20 (1919), no. 4, 339–342. MR 1501131, http://dx.doi.org/10.1090/S0002-9947-1919-1501131-0
11. J. W. Alexander, Note on Riemann spaces, Bull. Amer. Math. Soc. 26 (1919/20), 370-372.
12. J. W. Alexander, A proof of Jordan’s theorem about a simple closed curve, Ann. of Math. (2) 21 (1920), no. 3, 180–184. MR 1503615, http://dx.doi.org/10.2307/2007256
13. James W. Alexander, On the equilibrium of a fluid mass at rest, Trans. Amer. Math. Soc. 21 (1920), no. 4, 446–450. MR 1501154, http://dx.doi.org/10.1090/S0002-9947-1920-1501154-X
14. J. W. Alexander, On transformations with invariant points, Trans. Amer. Math. Soc. 23 (1922), no. 1, 89–95. MR 1501191, http://dx.doi.org/10.1090/S0002-9947-1922-1501191-7
15. O. Veblen and J. W. Alexander, Some theorems on transformations with invariant points, Bull. Amer. Math. Soc. 28 (1922), 10.
16. O. Veblen and J. W. Alexander, Theorem on the interior of a simply connected closed surface in three-space, Bull. Amer. Math. Soc. 28 (1922), 10.
17. J. W. Alexander, A proof and extension of the Jordan-Brouwer separation theorem, Trans. Amer. Math. Soc. 23 (1922), no. 4, 333–349. MR 1501206, http://dx.doi.org/10.1090/S0002-9947-1922-1501206-6
18. J. W. Alexander, Invariant points of a surface transformation of given class, Trans. Amer. Math. Soc. 25 (1923), no. 2, 173–184. MR 1501236, http://dx.doi.org/10.1090/S0002-9947-1923-1501236-5
19. O. Veblen and J. W. Alexander, A lemma on systems of knotted curves, Proc. Nat. Acad. Sci. U. S. A. 9 (1923), 93-95.
20. O. Veblen and J. W. Alexander, On the deformation of an n-cell, Proc. Nat. Acad. Sci. U. S. A. 9 (1923), 406-407.
21. O. Veblen and J. W. Alexander, Invariant points of surface transformations, Bull. Amer. Math. Soc. 29 (1923), 116.
22. O. Veblen and J. W. Alexander, The existence of closed geodesics on surfaces (Preliminary communication), Bull. Amer. Math. Soc. 29 (1923), 148-149.
23. O. Veblen and J. W. Alexander, On the deformation of an n-cell, Bull. Amer. Math. Soc. 30 (1924), 10.
24. O. Veblen and J. W. Alexander, On infinitely connected plane regions, Bull. Amer. Math. Soc. 30 (1924), 10.
25. O. Veblen and J. W. Alexander, Note on Brouwer's fixed point theorem, Bull. Amer. Math. Soc. 30 (1924), 299-300.
26. O. Veblen and J. W. Alexander, On the subdivision of 3-space by a polyhedron, Proc. Nat. Acad. Sci. U. S. A. 10 (1924), 6-8.
27. O. Veblen and J. W. Alexander, An example of a simply connected surface bounding a region which is not simply connected, Proc. Nat. Acad. Sci. U. S. A. 10 (1924), 8-10.
28. O. Veblen and J. W. Alexander, Remarks on a point set constructed by Antoine, Proc. Nat. Acad. Sci. U. S. A. 10 (1924), 10-12.
29. O. Veblen and J. W. Alexander, New topological invariants expressible as tensors, Proc. Nat. Acad. Sci. U. S. A. 10 (1924), 99-101.
30. O. Veblen and J. W. Alexander, On certain new topological invariants of a manifold, Proc. Nat. Acad. Sci. U. S. A. 10 (1924), 101-103.
31. O. Veblen and J. W. Alexander, Topological invariants of manifolds, Proc. Nat. Acad. Sci. U. S. A. 10 (1924), 493-494.
32. O. Veblen and J. W. Alexander, On the intersection invariants of a manifold, Proc. Nat. Acad. Sci. U. S. A. 11 (1925), 143-146.
33. O. Veblen and J. W. Alexander, Note on a theorem by H. Kneser, Proc. Nat. Acad. Sci. U. S. A. 11 (1925), 250-251.
34. J. W. Alexander, On the decomposition of tensors, Ann. of Math. (2) 27 (1926), no. 4, 421–423. MR 1502745, http://dx.doi.org/10.2307/1967693
35. J. W. Alexander, Combinatorial analysis situs, Trans. Amer. Math. Soc. 28 (1926), no. 2, 301–329. MR 1501346, http://dx.doi.org/10.1090/S0002-9947-1926-1501346-5
36. J. W. Alexander, On the class of a covariant tensor, Ann. of Math. (2) 28 (1926/27), no. 1-4, 245–250. MR 1502777, http://dx.doi.org/10.2307/1968369
37. J. W. Alexander and G. B. Briggs, On types of knotted curves, Ann. of Math. (2) 28 (1926/27), no. 1-4, 562–586. MR 1502807, http://dx.doi.org/10.2307/1968399
38. J. W. Alexander, Topological invariants of knotted curves in 3-space, Bull. Amer. Math. Soc. 33 (1927), 412.
39. J. W. Alexander, Topological invariants of knots and links, Trans. Amer. Math. Soc. 30 (1928), no. 2, 275–306. MR 1501429, http://dx.doi.org/10.1090/S0002-9947-1928-1501429-1
40. James W. Alexander, The combinatorial theory of complexes, Ann. of Math. (2) 31 (1930), no. 2, 292–320. MR 1502943, http://dx.doi.org/10.2307/1968099
41. J. W. Alexander and L. W. Cohen, Homology groups associated with infinite complexes, Bull. Amer. Math. Soc. 37 (1931), 345.
42. J. W. Alexander and L. W. Cohen, A classification of the homology groups of compact spaces, Ann. of Math. (2) 33 (1932), no. 3, 538–566. MR 1503075, http://dx.doi.org/10.2307/1968534
43. J. W. Alexander, Some problems in topology, Verhandlungen Kongress Zurich 1932, 249-257.
44. J. W. Alexander, A matrix knot invariant, Proc. Nat. Acad. Sci. U. S. A. 19 (1933), 272-275.
45. J. W. Alexander, On the homology groups of abstract spaces, Ann. of Math. (2) 35 (1934), no. 1, 130–151. MR 1503149, http://dx.doi.org/10.2307/1968125
46. J. W. Alexander, On the characters of discrete abelian groups, Ann. of Math. (2) 35 (1934), no. 2, 389–395. MR 1503169, http://dx.doi.org/10.2307/1968439
47. J. W. Alexander, Note on Pontrjagin's topological theorem of duality, Proc. Nat. Acad. Sci. U. S. A. 21(1935), 222-225.
48. J. W. Alexander, On the chains of a complex and their duals, Proc. Nat. Acad. Sci. U. S. A. 21 (1935), 509-511.
49. J. W. Alexander, On the ring of a compact metric space, Proc. Nat. Acad. Sci. U. S. A. 21 (1935), 511-512.
50. J. W. Alexander, On non-periodic forces, acting on oscillatory systems, Physica 2 (1935), 273-285.
51. J. W. Alexander and L. Zippin, Discrete abelian groups and their character groups, Ann. of Math. (2) 36 (1935), no. 1, 71–85. MR 1503209, http://dx.doi.org/10.2307/1968665
52. J. W. Alexander, On the connectivity ring of an abstract space, Ann. of Math. (2) 37 (1936), no. 3, 698–708. MR 1503305, http://dx.doi.org/10.2307/1968484
53. J. W. Alexander, On the connectivity ring of a bicompact space. I, II, Proc. Nat. Acad. Sci. U. S. A. 22 (1936), 300-303, 381-384.
54. J. W. Alexander, A theory of connectivity in terms of gratings, Ann. of Math. (2) 39 (1938), no. 4, 883–912. MR 1503444, http://dx.doi.org/10.2307/1968471
55. J. W. Alexander, On the concept of a topological space, Proc. Nat. Acad. Sci. U. S. A. 25 (1939), 52-54.
56. J. W. Alexander, On the connectivity ring of a lattice, Proc. Nat. Acad. Sci. U. S. A. 25 (1939), 208-209.
57. J. W. Alexander, Ordered sets, complexes and the problems of compactification, Proc. Nat. Acad. Sci. U. S. A. 25 (1939), 296-298.
58. J. W. Alexander, Gratings and homology theory, Bull. Amer. Math. Soc. 53 (1947), 201–233. MR 0019919 (8,480c), http://dx.doi.org/10.1090/S0002-9904-1947-08741-3
59. Dž. Aleksander, The connectivity ring of an abstract space, Uspehi Matem. Nauk (N.S.) 2 (1947), no. 1(17), 156–165 (Russian). MR 0027511 (10,317f)

Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9904-1973-13253-7
PII: S 0002-9904(1973)13253-7

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