메뉴 건너뛰기




Volumn 133, Issue 11, 2005, Pages 3429-3435

Countable dense homogeneity of definable spaces

Author keywords

Baire; Borel; Countable dense homogeneous

Indexed keywords


EID: 27844439355     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9939-05-07858-5     Document Type: Conference Paper
Times cited : (25)

References (25)
  • 1
    • 51249175480 scopus 로고
    • Countable dense homogeneous spaces under Martin's axiom
    • [BB]. MR0998668 (90f:54010)
    • [BB] S. Baldwin and R. E. Beaudoin, Countable dense homogeneous spaces under Martin's axiom, Israel J. Math. 65 (1989), 153-164. MR0998668 (90f:54010)
    • (1989) Israel J. Math. , vol.65 , pp. 153-164
    • Baldwin, S.1    Beaudoin, R.E.2
  • 2
    • 17844376672 scopus 로고
    • Countable dense homogeneous spaces
    • [Be]. MR0301711 (46:866)
    • [Be] R. B. Bennett, Countable dense homogeneous spaces, Fund. Math 74 (1972), 189-194. MR0301711 (46:866)
    • (1972) Fund. Math , vol.74 , pp. 189-194
    • Bennett, R.B.1
  • 3
    • 15944385922 scopus 로고
    • Some Remarks on the coherence type η
    • [Br]
    • [Br] L. E. J. Brouwer, Some Remarks on the coherence type η, Proc. Akad. Amsterdam 15 (1912), 1256-1263.
    • (1912) Proc. Akad. Amsterdam , vol.15 , pp. 1256-1263
    • Brouwer, L.E.J.1
  • 4
    • 21744460426 scopus 로고    scopus 로고
    • Homogeneity in Powers of zero-dimensional, first-countable spaces
    • [DP]. MR1416083 (97j:54008)
    • [DP] A. Dow and E. Pearl, Homogeneity in Powers of zero-dimensional, first-countable spaces, Proc. AMS 125 (1997), 2503-2510. MR1416083 (97j:54008)
    • (1997) Proc. AMS , vol.125 , pp. 2503-2510
    • Dow, A.1    Pearl, E.2
  • 5
    • 84907047868 scopus 로고
    • A note on countable dense homogeneity
    • [Fi]. MR0301696 (46:852)
    • [Fi] B. Fitzpatrick Jr., A note on countable dense homogeneity, Fund. Math. 75 (1972), 3-4. MR0301696 (46:852)
    • (1972) Fund. Math. , vol.75 , pp. 3-4
    • Fitzpatrick Jr., B.1
  • 6
    • 17844390296 scopus 로고
    • Densely homogeneous spaces. I
    • [FL]. MR0884229 (88d:54041)
    • [FL] B. Fitzpatrick, Jr. and N. F. Lauer, Densely homogeneous spaces. I, Houston J. Math. 13 (1987), 19-25. MR0884229 (88d:54041)
    • (1987) Houston J. Math. , vol.13 , pp. 19-25
    • Fitzpatrick Jr., B.1    Lauer, N.F.2
  • 7
    • 17844391451 scopus 로고
    • Densely homogeneous spaces II
    • [FZ1]. MR0959223 (89k:54080)
    • [FZ1] B. Fitzpatrick Jr. and H.-X. Zhou, Densely homogeneous spaces II, Houston J. Math. 14 (1988), 57-68. MR0959223 (89k:54080)
    • (1988) Houston J. Math. , vol.14 , pp. 57-68
    • Fitzpatrick Jr., B.1    Zhou, H.-X.2
  • 8
    • 17844408342 scopus 로고
    • Countable dense homogeneity and the Baire property
    • [FZ2]. MR1141367 (93b:54030)
    • [FZ2] B. Fitzpatrick Jr. and H.-X. Zhou, Countable dense homogeneity and the Baire property, Topology and its Applications 43 (1992), 1-14. MR1141367 (93b:54030)
    • (1992) Topology and Its Applications , vol.43 , pp. 1-14
    • Fitzpatrick Jr., B.1    Zhou, H.-X.2
  • 9
    • 27844598666 scopus 로고
    • Some open problems in densely homogeneous spaces
    • [FZ3] (ed. J. van Mill and M. Reed), North-Holland, Amsterdam. MR1078651
    • [FZ3] B. Fitzpatrick Jr. and H.-X. Zhou, Some Open Problems in Densely Homogeneous Spaces, in Open Problems in Topology (ed. J. van Mill and M. Reed), 1984, pp. 251-259, North-Holland, Amsterdam. MR1078651
    • (1984) Open Problems in Topology , pp. 251-259
    • Fitzpatrick Jr., B.1    Zhou, H.-X.2
  • 10
    • 0002279380 scopus 로고
    • Homogeneity of infinite products of manifolds with boundary
    • [Fo]. MR0145499 (26:3030)
    • [Fo] M. Fort, Homogeneity of infinite products of manifolds with boundary, Pacific J. Math 12 (1962), 879-884. MR0145499 (26:3030)
    • (1962) Pacific J. Math , vol.12 , pp. 879-884
    • Fort, M.1
  • 11
    • 0010726832 scopus 로고
    • Les dimensions d'unensemble abstrait
    • [Fr]
    • [Fr] M. Fréchet, Les dimensions d'unensemble abstrait, Math. Ann 68 (1910), 145-168.
    • (1910) Math. Ann , vol.68 , pp. 145-168
    • Fréchet, M.1
  • 12
    • 27844566547 scopus 로고    scopus 로고
    • Cardinal invariants related to sequential separability
    • [HS]. MR1855551
    • [HS] M. Hrušák and J. Steprans, Cardinal invariants related to sequential separability, Surikaisekikenkiusho Kokyuroku 1202 (2001), 66-74. MR1855551
    • (2001) Surikaisekikenkiusho Kokyuroku , vol.1202 , pp. 66-74
    • Hrušák, M.1    Steprans, J.2
  • 13
    • 0004178479 scopus 로고
    • [Ka]. Springer-Verlag. MR1321144 (96k:03125)
    • [Ka] A. Kanamori, The Higher Infinite, 1994, Springer-Verlag. MR1321144 (96k:03125)
    • (1994) The Higher Infinite
    • Kanamori, A.1
  • 15
    • 0000800116 scopus 로고
    • The structure of σ-ideals of compact sets
    • [KLW]. MR0879573 (88f:03042)
    • [KLW] A. S. Kechris, A. Louveau and W. H. Woodin, The Structure of σ-ideals of Compact Sets, Trans. AMS 301 (1987), 263-288. MR0879573 (88f:03042)
    • (1987) Trans. AMS , vol.301 , pp. 263-288
    • Kechris, A.S.1    Louveau, A.2    Woodin, W.H.3
  • 17
    • 22044441544 scopus 로고    scopus 로고
    • Homogeneity in powers of subspaces of the real line
    • [La]. MR1458308 (98k:54061)
    • [La] B. Lawrence, Homogeneity in powers of subspaces of the real line, Trans. AMS 350 (1998), 3055-3064. MR1458308 (98k:54061)
    • (1998) Trans. AMS , vol.350 , pp. 3055-3064
    • Lawrence, B.1
  • 18
    • 10044258041 scopus 로고
    • On Baire cosmic spaces
    • [Le]. Heldermann Verlag, Berlin. MR0698438 (84d:54052)
    • [Le] S. Levi, On Baire cosmic spaces, Proceednigs of the Fifth Prague Topological Symposium, 1983, pp. 450-451, Heldermann Verlag, Berlin. MR0698438 (84d:54052)
    • (1983) Proceednigs of the Fifth Prague Topological Symposium , pp. 450-451
    • Levi, S.1
  • 20
    • 84966235521 scopus 로고
    • Strong local homogeneity does not imply countable dense homogeneity
    • [vM1]. MR0633296 (83e:54033)
    • [vM1] J. van Mill, Strong local homogeneity does not imply countable dense homogeneity, Proc. AMS 84 (1982), 143-148. MR0633296 (83e:54033)
    • (1982) Proc. AMS , vol.84 , pp. 143-148
    • Van Mill, J.1
  • 22
    • 0039269589 scopus 로고
    • Descriptive set theory and forcing
    • [Mi]. Springer, MR1439251 (98g:03119)
    • [Mi] A. W. Miller, Descriptive Set Theory and Forcing, 1995, Springer, Lecture Notes in Logic 4. MR1439251 (98g:03119)
    • (1995) Lecture Notes in Logic , vol.4
    • Miller, A.W.1
  • 23
    • 0344163361 scopus 로고
    • Concerning the existence of a connected, countable dense homogeneous subset of the plane which is not strongly locally homogeneous
    • [Sa]. MR1206461 (94c:54008)
    • [Sa] W. L. Saltsman, Concerning the existence of a connected, countable dense homogeneous subset of the plane which is not strongly locally homogeneous, Topology Proceedings 16 (1991), 137-176. MR1206461 (94c:54008)
    • (1991) Topology Proceedings , vol.16 , pp. 137-176
    • Saltsman, W.L.1
  • 24
    • 27844432008 scopus 로고
    • Some results on CDH spaces
    • [SZ]. MR0932979 (89c:54070)
    • [SZ] J. Steprans, H.-X. Zhou, Some Results on CDH Spaces, Topology and its Applications 28 (1988), 147-154. MR0932979 (89c:54070)
    • (1988) Topology and Its Applications , vol.28 , pp. 147-154
    • Steprans, J.1    Zhou, H.-X.2
  • 25
    • 27844467529 scopus 로고
    • Two applications of set theory to homogeneity
    • [Zh]. MR0940441 (89c:54010)
    • [Zh] H.-X. Zhou, Two applications of set theory to homogeneity, Questions Answers Gen. Topology 6 (1988), 49-56. MR0940441 (89c:54010)
    • (1988) Questions Answers Gen. Topology , vol.6 , pp. 49-56
    • Zhou, H.-X.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.