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Bulletin of the American Mathematical Society

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

 

 

Robert Lee Moore, 1882-1974


Author: R. L. Wilder
Journal: Bull. Amer. Math. Soc. 82 (1976), 417-427
Erratum, Volume 82: Bull. Amer. Math. Soc., Volume 83, Number 3 (1977), 415--415
MathSciNet review: 0465747
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References | Additional Information

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  • 1. R. L. Moore, Geometry in which the sum of the angles of every triangle is two right angles, Trans. Amer. Math. Soc. 8 (1907), no. 3, 369–378. MR 1500791, 10.1090/S0002-9947-1907-1500791-X
  • 2. Robert L. Moore, Sets of metrical hypotheses for geometry, Trans. Amer. Math. Soc. 9 (1908), no. 4, 487–512. MR 1500823, 10.1090/S0002-9947-1908-1500823-X
  • 3. R. L. Wilder, A note concerning Veblen's axioms for geometry, Trans. Amer. Math. Soc. 13 (1912), 74-78.
  • 4. R. L. Wilder, On Duhamel's theorem, Ann. of Math. 13 (1912), 161-168.
  • 5. Robert L. Moore, On a set of postulates which suffice to define a number-plane, Trans. Amer. Math. Soc. 16 (1915), no. 1, 27–32. MR 1500996, 10.1090/S0002-9947-1915-1500996-2
  • 6. R. L. Wilder, The linear continuum in terms of point and limit, Ann. of Math. 16 (1915), 123-133.
  • 7. R. L. Wilder, On the linear continuum, Bull. Amer. Math. Soc. 22 (1915), 117-122.
  • 8. R. L. Wilder, Concerning a non-metrical pseudo-Archimedean axiom, Bull. Amer. Math. Soc. 22 (1916), 225-236.
  • 9. R. L. Wilder, On the foundations of plane analysis situs, Proc. Nat. Acad. Sci. U.S.A. 2 (1916), 270-272.
  • 10. Robert L. Moore, On the foundations of plane analysis situs, Trans. Amer. Math. Soc. 17 (1916), no. 2, 131–164. MR 1501033, 10.1090/S0002-9947-1916-1501033-7
  • 11. R. L. Wilder, A theorem concerning continuous curves, Bull. Amer. Math. Soc. 23 (1917), 233-236.
  • 12. R. L. Wilder, A characterization of Jordan regions by properties having no reference to their boundaries, Proc. Nat. Acad. Sci. U.S.A. 4 (1918), 364-370.
  • 13. R. L. Wilder, Continuous sets that have no continuous sets of condensation, Bull. Amer. Math. Soc. 20 (1919), 174-176.
  • 14. Robert L. Moore, Concerning a set of postulates for plane analysis situs, Trans. Amer. Math. Soc. 20 (1919), no. 2, 169–178. MR 1501119, 10.1090/S0002-9947-1919-1501119-X
  • 15. R. L. Moore and J. R. Kline, On the most general plane closed point-set through which it is possible to pass a simple continuous arc, Ann. of Math. (2) 20 (1919), no. 3, 218–223. MR 1502556, 10.2307/1967872
  • 16. R. L. Wilder, On the most general class L of Fréchet in which the Heine-Borel-Lebesgue theorem holds true, Proc. Nat. Acad. Sci. U.S.A. 5 (1919), 206-210.
  • 17. Robert L. Moore, On the Lie-Riemann-Helmholtz-Hilbert Problem of the Foundations of Geometry, Amer. J. Math. 41 (1919), no. 4, 299–319. MR 1506395, 10.2307/2370289
  • 18. R. L. Wilder, The second volume of Veblen and Young's projective geometry, Bull. Amer. Math. Soc. 26 (1920), 412-425 (book review).
  • 19. Robert L. Moore, Concerning simple continuous curves, Trans. Amer. Math. Soc. 21 (1920), no. 3, 333–347. MR 1501148, 10.1090/S0002-9947-1920-1501148-4
  • 20. Robert L. Moore, Concerning certain equicontinuous systems of curves, Trans. Amer. Math. Soc. 22 (1921), no. 1, 41–55. MR 1501158, 10.1090/S0002-9947-1921-1501158-8
  • 21. R. L. Wilder, On the relation of a continuous curve to its complementary domains in space of three dimensions, Proc. Nat. Acad. Sci. U.S.A. 8 (1922), 33-38.
  • 22. R. L. Wilder, Concerning connectedness im kleinen and a related property, Fund. Math. 3 (1922), 232-237.
  • 23. Robert L. Moore, Concerning continuous curves in the plane, Math. Z. 15 (1922), no. 1, 254–260. MR 1544571, 10.1007/BF01494397
  • 24. R. L. Wilder, On the generation of a simple surface by means of a set of equicontinuous curves, Fund. Math. 4 (1923), 106-117.
  • 25. R. L. Wilder, An uncountable, closed and non-dense point set each of whose complementary intervals abuts on another one at each of its ends, Bull. Amer. Math. Soc. 29 (1923), 49-50.
  • 26. R. L. Wilder, Concerning the cut-points of continuous curves and of other closed and connected point-sets, Proc. Nat. Acad. Sci. U.S.A. 9 (1923), 101-106.
  • 27. R. L. Wilder, Report on continuous curves from the viewpoint of analysis situs, Bull. Amer. Math. Soc. 29 (1923), 289-302.
  • 28. R. L. Wilder, An extension of the theorem that no countable point set is perfect, Proc. Nat. Acad. Sci. U.S.A. 10 (1924), 168-170.
  • 29. R. L. Wilder, Concerning the prime parts of certain continua which separate the plane, Proc. Nat. Acad. Sci. U.S.A. 10 (1924), 170-175.
  • 30. R. L. Wilder, Concerning relatively uniform convergence, Bull. Amer. Math. Soc. 30 (1924), 504-505.
  • 31. R. L. Wilder, Concerning the sum of a countable number of mutually exclusive continua in the plane, Fund. Math. 6 (1924), 189-202.
  • 32. R. L. Wilder, Concerning upper semi-continuous collections of continua which do not separate a given continuum, Proc. Nat. Acad. Sci. U.S.A. 10 (1924), 356-360.
  • 33. R. L. Wilder, Concerning the common boundary of two domains, Fund. Math. 6 (1924), 203-213.
  • 34. R. L. Wilder, Concerning sets of segments which cover a point set in the Vitali sense, Proc. Nat. Acad. Sci. U.S.A. 10 (1924), 464-467.
  • 35. Robert L. Moore, Concerning the prime parts of a continuum, Math. Z. 22 (1925), no. 1, 307–315. MR 1544726, 10.1007/BF01479609
  • 36. R. L. Wilder, A characterization of a continuous curve, Fund. Math. 7 (1925), 302-307.
  • 37. R. L. Wilder, Concerning the separation of point sets by curves, Proc. Nat. Acad. Sci. U.S.A. 11 (1925), 469-476.
  • 38. R. L. Moore, Concerning upper semi-continuous collections of continua, Trans. Amer. Math. Soc. 27 (1925), no. 4, 416–428. MR 1501320, 10.1090/S0002-9947-1925-1501320-8
  • 39. R. L. Wilder, Concerning the relation between separability and the proposition that every uncountable point set has a limit point, Fund. Math. 8 (1926), 189-192; cf., also, An acknowledgement, ibid., 374-375.
  • 40. R. L. Moore, Conditions Under Which One of Two Given Closed Linear Point Sets may be Thrown Into the Other One by a Continuous Transformation of a Plane Into Itself, Amer. J. Math. 48 (1926), no. 1, 67–72. MR 1506573, 10.2307/2370821
  • 41. R. L. Wilder, Concerning indecomposable continua and continua which contain no subsets that separate the plane. Proc. Nat. Acad. Sci. U.S.A. 12 (1926), 359-363.
  • 42. R. L. Wilder, Covering theorems, Bull. Amer. Math. Soc. 32 (1926), 275-282.
  • 43. R. L. Wilder, A connected and regular point set which contains no arc, Bull. Amer. Math. Soc. 32 (1926), 331-332.
  • 44. R. L. Wilder, Concerning paths that do not separate a given continuous curve, Proc. Nat. Acad. Sci. U.S.A. 12 (1926), 745-753.
  • 45. R. L. Wilder, Some separation theorems, Proc. Nat. Acad. Sci. U.S.A. 13 (1927), 711-716.
  • 46. R. L. Wilder, Concerning triods in the plane and the junction points of plane continua, Proc. Nat. Acad. Sci. U.S.A. 14 (1928), 85-88.
  • 47. R. L. Wilder, On the separation of the plane by a continuum, Bull. Amer. Math. Soc. 34 (1928), 303-306.
  • 48. R. L. Wilder, A separation theorem, Fund. Math. 12 (1928), 295-297.
  • 49. R. L. Wilder, Concerning triodic continua in the plane, Fund. Math. 13 (1929), 261-263.
  • 50. R. L. Moore, Concerning upper semi-continuous collections, Monatsh. Math. Phys. 36 (1929), no. 1, 81–88 (German). MR 1549673, 10.1007/BF02307605
  • 51. R. L. Moore, Foundations of point set theory, Revised edition. American Mathematical Society Colloquium Publications, Vol. XIII, American Mathematical Society, Providence, R.I., 1962. MR 0150722
  • 52. R. L. Wilder, Concerning compact continua which contain no continuum that separates the plane, Proc. Nat. Acad. Sci. U.S.A. 20 (1934), 41-45.
  • 53. R. L. Wilder, A set of axioms for plane analysis situs, Fund. Math. 25 (1935), 13-28.
  • 54. R. L. Wilder, Foundations of a point set theory of spaces in which some points are contiguous to others, Rice Institute Pamphlet 23 (1936), 1-41.
  • 55. R. L. Wilder, Upper semi-continuous collections of the second type, Rice Institute Pamphlet 23 (1936), 42-57.
  • 56. R. L. Wilder, On the structure of continua, Rice Institute Pamphlet 23 (1936), 58-74.
  • 57. R. L. Moore, Concerning essential continua of condensation, Trans. Amer. Math. Soc. 42 (1937), no. 1, 41–52. MR 1501913, 10.1090/S0002-9947-1937-1501913-6
  • 58. R. L. Moore, Concerning accessibility, Proc. Nat. Acad. Sci. U. S. A. 25 (1939), 648–653. MR 0000643
  • 59. R. L. Moore, Concerning the open subsets of a plane continuum, Proc. Nat. Acad. Sci. U. S. A. 26 (1940), 24–25. MR 0000642
  • 60. R. L. Moore, Concerning separability, Proc. Nat. Acad. Sci. U. S. A. 28 (1942), 56–58. MR 0005320
  • 61. R. L. Moore, Concerning intersecting continua, Proc. Nat. Acad. Sci. U. S. A. 28 (1942), 544–550. MR 0007481
  • 62. R. L. Moore, Concerning a continuum and its boundary, Proc. Nat. Acad. Sci. U. S. A. 28 (1942), 550–555. MR 0007482
  • 63. R. L. Moore, Concerning domains whose boundaries are compact, Proc. Nat. Acad. Sci. U. S. A. 28 (1942), 555–561. MR 0007483
  • 64. R. L. Moore, Concerning continua which have dendratomic subsets, Proc. Nat. Acad. Sci. U. S. A. 29 (1943), 384–389. MR 0009435
  • 65. R. L. Moore, Concerning webs in the plane, Proc. Nat. Acad. Sci. U. S. A. 29 (1943), 389–393. MR 0009436
  • 66. R. L. Moore, Concerning tangents to continua in the plane, Proc. Nat. Acad. Sci. U. S. A. 31 (1945), 67–70. MR 0011542
  • 67. R. L. Moore, A characterization of a simple plane web, Proc. Nat. Acad. Sci. U. S. A. 32 (1946), 311–316. MR 0018809
  • 68. R. L. Moore, Spirals in the plane, Proc. Nat. Acad. Sci. U. S. A. 39 (1953), 207–213. MR 0053496


Additional Information

DOI: https://doi.org/10.1090/S0002-9904-1976-14029-3