Robert Lee Moore, 1882-1974
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- Bull. Amer. Math. Soc. 82 (1976), 417-427
References
- 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, DOI 10.1090/S0002-9947-1907-1500791-X
- Robert L. Moore, Sets of metrical hypotheses for geometry, Trans. Amer. Math. Soc. 9 (1908), no. 4, 487–512. MR 1500823, DOI 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.
- 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, DOI 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.
- Robert L. Moore, On the foundations of plane analysis situs, Trans. Amer. Math. Soc. 17 (1916), no. 2, 131–164. MR 1501033, DOI 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.
- Robert L. Moore, Concerning a set of postulates for plane analysis situs, Trans. Amer. Math. Soc. 20 (1919), no. 2, 169–178. MR 1501119, DOI 10.1090/S0002-9947-1919-1501119-X
- 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, DOI 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.
- 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, DOI 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).
- Robert L. Moore, Concerning simple continuous curves, Trans. Amer. Math. Soc. 21 (1920), no. 3, 333–347. MR 1501148, DOI 10.1090/S0002-9947-1920-1501148-4
- Robert L. Moore, Concerning certain equicontinuous systems of curves, Trans. Amer. Math. Soc. 22 (1921), no. 1, 41–55. MR 1501158, DOI 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.
- Robert L. Moore, Concerning continuous curves in the plane, Math. Z. 15 (1922), no. 1, 254–260. MR 1544571, DOI 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.
- Robert L. Moore, Concerning the prime parts of a continuum, Math. Z. 22 (1925), no. 1, 307–315. MR 1544726, DOI 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.
- R. L. Moore, Concerning upper semi-continuous collections of continua, Trans. Amer. Math. Soc. 27 (1925), no. 4, 416–428. MR 1501320, DOI 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.
- 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, DOI 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.
- R. L. Moore, Concerning upper semi-continuous collections, Monatsh. Math. Phys. 36 (1929), no. 1, 81–88 (German). MR 1549673, DOI 10.1007/BF02307605
- 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.
- R. L. Moore, Concerning essential continua of condensation, Trans. Amer. Math. Soc. 42 (1937), no. 1, 41–52. MR 1501913, DOI 10.1090/S0002-9947-1937-1501913-6
- R. L. Moore, Concerning accessibility, Proc. Nat. Acad. Sci. U.S.A. 25 (1939), 648–653. MR 643, DOI 10.1073/pnas.25.12.648
- R. L. Moore, Concerning the open subsets of a plane continuum, Proc. Nat. Acad. Sci. U.S.A. 26 (1940), 24–25. MR 642, DOI 10.1073/pnas.26.1.24
- R. L. Moore, Concerning separability, Proc. Nat. Acad. Sci. U.S.A. 28 (1942), 56–58. MR 5320, DOI 10.1073/pnas.28.2.56
- R. L. Moore, Concerning intersecting continua, Proc. Nat. Acad. Sci. U.S.A. 28 (1942), 544–550. MR 7481, DOI 10.1073/pnas.28.12.544
- R. L. Moore, Concerning a continuum and its boundary, Proc. Nat. Acad. Sci. U.S.A. 28 (1942), 550–555. MR 7482, DOI 10.1073/pnas.28.12.550
- R. L. Moore, Concerning domains whose boundaries are compact, Proc. Nat. Acad. Sci. U.S.A. 28 (1942), 555–561. MR 7483, DOI 10.1073/pnas.28.12.555
- R. L. Moore, Concerning continua which have dendratomic subsets, Proc. Nat. Acad. Sci. U.S.A. 29 (1943), 384–389. MR 9435, DOI 10.1073/pnas.29.11.384
- R. L. Moore, Concerning webs in the plane, Proc. Nat. Acad. Sci. U.S.A. 29 (1943), 389–393. MR 9436, DOI 10.1073/pnas.29.11.389
- R. L. Moore, Concerning tangents to continua in the plane, Proc. Nat. Acad. Sci. U.S.A. 31 (1945), 67–70. MR 11542, DOI 10.1073/pnas.31.2.67
- R. L. Moore, A characterization of a simple plane web, Proc. Nat. Acad. Sci. U.S.A. 32 (1946), 311–316. MR 18809, DOI 10.1073/pnas.32.12.311
- R. L. Moore, Spirals in the plane, Proc. Nat. Acad. Sci. U.S.A. 39 (1953), 207–213. MR 53496, DOI 10.1073/pnas.39.3.207
Additional Information
- Journal: Bull. Amer. Math. Soc. 82 (1976), 417-427
- DOI: https://doi.org/10.1090/S0002-9904-1976-14029-3
- MathSciNet review: 0465747