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Volumn 26, Issue 1, 1982, Pages 73-97

The mathematical work of R. L. Moore: Its background, nature and influence

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EID: 0002588038     PISSN: 00039519     EISSN: 14320657     Source Type: Journal    
DOI: 10.1007/BF00348310     Document Type: Article
Times cited : (10)

References (68)
  • 1
    • 84932026365 scopus 로고    scopus 로고
    • Geometry in which the sum of the angles of every triangle is two right angles, Trans. Amer. Math. Soc.8 (1907), 369–378.
  • 2
    • 84932026374 scopus 로고    scopus 로고
    • Sets of metrical hypotheses for geometry, Trans. Amer. Math. Soc.9 (1908), 487–512.
  • 3
    • 84932026375 scopus 로고    scopus 로고
    • A note concerning Veblen's axioms for geometry, Trans. Amer. Math. Soc.13 (1912), 74–78.
  • 4
    • 84932026370 scopus 로고    scopus 로고
    • On Duhamel's theorem, Ann. of Math.13 (1912), 161–168.
  • 5
    • 84932026371 scopus 로고    scopus 로고
    • On a set of postulates which suffice to define a number-plane, Trans. Amer. Math. Soc.16 (1915), 27–32.
  • 6
    • 84932026372 scopus 로고    scopus 로고
    • The linear continuum in terms of point and limit, Ann. of Math.16 (1915), 123–133.
  • 7
    • 84932026373 scopus 로고    scopus 로고
    • On the linear continuum, Bull. Amer. Math. Soc.22 (1915), 117–122.
  • 8
    • 84932026366 scopus 로고    scopus 로고
    • Concerning a non-metrical pseudo-Archimedean axiom, Bull. Amer. Math. Soc.22 (1916), 225–236.
  • 9
    • 84932026367 scopus 로고    scopus 로고
    • On the foundations of plane analysis situs, Proc. Nat. Acad. Sci. U.S.A.2 (1916), 270–272.
  • 10
    • 84932026368 scopus 로고    scopus 로고
    • On the foundations of plane analysis situs, Trans. Amer. Math. Soc.17 (1916), 131–164.
  • 11
    • 84932026369 scopus 로고    scopus 로고
    • A theorem concerning continuous curves, Bull. Amer. Math. Soc.23 (1917), 233–236.
  • 12
    • 84932026451 scopus 로고    scopus 로고
    • 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
    • 84932026453 scopus 로고    scopus 로고
    • Continuous curves that have no continuous sets of condensation, Bull. Amer. Math. Soc.20 (1919), 174–176.
  • 14
    • 84932026452 scopus 로고    scopus 로고
    • Concerning a set of postulates for plane analysis situs, Trans. Amer. Math. Soc.20 (1919), 169–178.
  • 15
    • 3042812801 scopus 로고
    • On the most general plane closed point set through which it is possible to pass a simple continuous arc
    • (1919) Ann. of Math. , vol.20 , pp. 218-223
    • Kline, J.R.1
  • 16
    • 84932026455 scopus 로고    scopus 로고
    • 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
    • 84932026454 scopus 로고    scopus 로고
    • On the Lie-Riemann-Helmholtz-Hilbert problem of the foundations of geometry, Amer. Jour. Math.41 (1919), 299–319.
  • 18
    • 84932026457 scopus 로고    scopus 로고
    • The second volume of Veblen and Young's projective geometry, Bull. Amer. Math. Soc.26 (1920), 412–425 (book review).
  • 19
    • 84932026456 scopus 로고    scopus 로고
    • Concerning simple continuous curves, Trans. Amer. Math. Soc.21 (1920), 333–347.
  • 20
    • 84932026459 scopus 로고    scopus 로고
    • Concerning certain equicontinuous systems of curves, Trans. Amer. Math. Soc.22 (1921), 41–45.
  • 21
    • 84932026458 scopus 로고    scopus 로고
    • 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
    • 84932026460 scopus 로고    scopus 로고
    • Concerning connectedness im kleinen and a related property, Fund. Math.3 (1922), 232–237.
  • 23
    • 84932026464 scopus 로고    scopus 로고
    • Concerning continuous curves in the plane, Math. Zeit.15 (1922), 254–260.
  • 24
    • 84932026463 scopus 로고    scopus 로고
    • On the generation of a simple surface by means of a set of equicontinuous curves, Fund. Math.4 (1923), 106–117.
  • 25
    • 84932026462 scopus 로고    scopus 로고
    • 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
    • 84932026461 scopus 로고    scopus 로고
    • 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
    • 84932026468 scopus 로고    scopus 로고
    • Report on continuous curves from the viewpoint of analysis situs, Bull. Amer. Math. Soc.29 (1923), 289–302.
  • 28
    • 84932026467 scopus 로고    scopus 로고
    • An extension of the theorem that no countable point set is perfect, Proc. Nat. Acad. Sci. U.S.A.10 (1924), 168–170.
  • 29
    • 84932026466 scopus 로고    scopus 로고
    • Concerning the prime parts of certain continua which separate the plane, Proc. Nat. Acad. Sci. U.S.A.10 (1924), 170–175.
  • 30
    • 84932026465 scopus 로고    scopus 로고
    • Concerning relatively uniform convergence, Bull. Amer. Math. Soc.30 (1924), 504–505.
  • 31
    • 84932026470 scopus 로고    scopus 로고
    • Concerning the sum of a countable number of mutually exclusive continua in the plane, Fund. Math.6 (1924), 189–202.
  • 32
    • 84932026469 scopus 로고    scopus 로고
    • 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
    • 84932026435 scopus 로고    scopus 로고
    • Concerning the common boundary of two domains, Fund. Math.6 (1924), 203–213.
  • 34
    • 84932026432 scopus 로고    scopus 로고
    • 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
    • 84932026431 scopus 로고    scopus 로고
    • Concerning the prime parts of a continuum, Math. Zeit.22 (1925), 307–315.
  • 36
    • 84932026434 scopus 로고    scopus 로고
    • A characterization of a continuous curve, Fund. Math.7 (1925), 302–307.
  • 37
    • 84932026433 scopus 로고    scopus 로고
    • Concerning the separation of points sets by curves, Proc. Nat. Acad. Sci. U.S.A.11 (1926), 469–476.
  • 38
    • 84932026438 scopus 로고    scopus 로고
    • Concerning upper semi-continuous collections of continua, Trans. Amer. Math. Soc.27 (1925), 416–428.
  • 39
    • 84932026437 scopus 로고    scopus 로고
    • Concerning the relation between separability and the proposition that every uncountable point set has a limit point, Fund. Math.8 (1926), 189–192; also, An acknowledgement, ibid., 374–375.
  • 40
    • 84932026440 scopus 로고    scopus 로고
    • 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. Jour. Math.48 (1926), 67–72.
  • 41
    • 84932026439 scopus 로고    scopus 로고
    • 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
    • 84932026436 scopus 로고    scopus 로고
    • Covering theorems, Bull. Amer. Math. Soc.32 (1926), 275–282.
  • 43
    • 84932026446 scopus 로고    scopus 로고
    • A connected and regular point set which contains no arc, Bull. Amer. Math. Soc.32 (1926), 331–332.
  • 44
    • 84932026445 scopus 로고    scopus 로고
    • Concerning paths that do not separate a given continuous curve, Proc. Nat. Acad. Sci. U.S.A.12 (1926), 745–753.
  • 45
    • 84932026444 scopus 로고    scopus 로고
    • Some separation theorems, Proc. Nat. Acad. Sci. U.S.A.13 (1927), 711–716.
  • 46
    • 84932026443 scopus 로고    scopus 로고
    • Concerning triods in the plane and the junction points of plane continua, Proc. Nat. Acad. U.S.A.14 (1928), 85–88.
  • 47
    • 84932026442 scopus 로고    scopus 로고
    • On the separation of the plane by a continuum, Bull. Amer. Math. Soc.34 (1928), 303–306.
  • 48
    • 84932026441 scopus 로고    scopus 로고
    • A separation theorem, Fund. Math.12 (1928), 295–297.
  • 49
    • 84932026450 scopus 로고    scopus 로고
    • Concerning triodic continua in the plane, Fund. Math.13 (1929), 261–263.
  • 50
    • 84932026449 scopus 로고    scopus 로고
    • Concerning upper semi-continuous collections, Monatsh. Math. Phys.36 (1929), 81–88.
  • 51
    • 84932026448 scopus 로고    scopus 로고
    • Foundations of point set theory, Amer. Math. Soc. Coll. Pub., vol. 13, Amer. Math. Soc., Providence, R.I., 1932; rev. ed. 1962; reprinted with corrections, 1970.
  • 52
    • 84932026447 scopus 로고    scopus 로고
    • Concerning compact continua which contain no continuum that separates the plane, Proc. Nat. Acad. Sci. U.S.A.20 (1934), 41–45.
  • 53
    • 84932026414 scopus 로고    scopus 로고
    • A set of axioms for plane analysis situs, Fund. Math.25 (1935), 13–28.
  • 54
    • 84932026415 scopus 로고    scopus 로고
    • Foundations of a point set theory in which some points are contiguous to others, Rice Institute Pamphlet23 (1936), 1–41.
  • 55
    • 84932026416 scopus 로고    scopus 로고
    • Upper semi-continuous collections of the second type, Rice Institute Pamphlet23 (1936), 42–57.
  • 56
    • 84932026417 scopus 로고    scopus 로고
    • On the structure of continua, Rice Institute Pamphlet23 (1936), 58–74.
  • 57
    • 84932026418 scopus 로고    scopus 로고
    • Concerning essential continua of condensation, Trans. Amer. Math. Soc.42 (1937), 41–52.
  • 58
    • 84932026419 scopus 로고    scopus 로고
    • Concerning accessibility, Proc. Nat. Acad. Sci. U.S.A.25 (1939), 648–653.
  • 59
    • 84932026420 scopus 로고    scopus 로고
    • Concerning the open subsets of a plane continuum, Proc. Nat. Acad. Sci. U.S.A.26 (1940), 24–25.
  • 60
    • 84932026411 scopus 로고    scopus 로고
    • Concerning separability, Proc. Nat. Acad. Sci. U.S.A.28 (1942), 56–58.
  • 61
    • 84932026412 scopus 로고    scopus 로고
    • Concerning intersecting continua, Proc. Nat. Acad. Sci. U.S.A.28 (1942), 544–550.
  • 62
    • 84932026413 scopus 로고    scopus 로고
    • Concerning a continuum and its boundary, Proc. Nat. Acad. U.S.A.28 (1942), 550–555.
  • 63
    • 84932026425 scopus 로고    scopus 로고
    • Concerning domains whose boundaries are compact, Proc. Nat. Acad. Sci. U.S.A.28 (1942), 555–561.
  • 64
    • 84932026426 scopus 로고    scopus 로고
    • Concerning continua which have dendratomic subsets, Proc. Nat. Acad. Sci. U.S.A.29 (1943), 384–389.
  • 65
    • 84932026423 scopus 로고    scopus 로고
    • Concerning webs in the plane, Proc. Nat. Acad. Sci. U.S.A.29 (1943), 389–393.
  • 66
    • 84932026424 scopus 로고    scopus 로고
    • Concerning tangents to continua in the plane, Proc. Nat. Acad. Sci. U.S.A.31 (1945), 67–70.
  • 67
    • 84932026429 scopus 로고    scopus 로고
    • A characterization of a simple plane web, Proc. Nat. Acad. Sci. U.S.A.32 (1946), 311–316.
  • 68
    • 84932026430 scopus 로고    scopus 로고
    • Spirals in the plane, Proc. Nat. Acad. Sci. U.S.A.39 (1953), 207–213.


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