메뉴 건너뛰기




Volumn 158, Issue 2, 2011, Pages 204-214

Domination by second countable spaces and Lindelöf Σ-property

Author keywords

0 spaces; (Strong) domination by a second countable space; (Strong) domination by irrationals; Compact cover; Compact space; Cosmic spaces; Diagonal; Function spaces; Lindel f space; Metrizable space; Metrization; Orderings by a second countable space; Orderings by irrationals

Indexed keywords


EID: 78649631774     PISSN: 01668641     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.topol.2010.10.014     Document Type: Article
Times cited : (36)

References (26)
  • 1
    • 0038496086 scopus 로고
    • Structure and classification of topological spaces and cardinal invariants
    • (in Russian)
    • Arhangel'skii A.V. Structure and classification of topological spaces and cardinal invariants. Uspekhi Mat. Nauk 1978, 33(6):29-84. (in Russian).
    • (1978) Uspekhi Mat. Nauk , vol.33 , Issue.6 , pp. 29-84
    • Arhangel'skii, A.V.1
  • 3
    • 78649632803 scopus 로고
    • Cp-theory
    • Elsevier Science Publishers, B.V., Amsterdam, M. Hušek, J. van Mill (Eds.)
    • Arhangel'skii A.V. Cp-theory. Modern Progress in General Topology 1992, Elsevier Science Publishers, B.V., Amsterdam. M. Hušek, J. van Mill (Eds.).
    • (1992) Modern Progress in General Topology
    • Arhangel'skii, A.V.1
  • 4
    • 0005553540 scopus 로고
    • On subspaces of function spaces
    • (in Russian)
    • Baturov D.P. On subspaces of function spaces. Vestnik Moskov. Univ. Ser. Mat. Mekh. 1987, 42(4):66-69. (in Russian).
    • (1987) Vestnik Moskov. Univ. Ser. Mat. Mekh. , vol.42 , Issue.4 , pp. 66-69
    • Baturov, D.P.1
  • 5
    • 0009798206 scopus 로고
    • On K-analytic locally convex spaces
    • Cascales B. On K-analytic locally convex spaces. Arch. Math. 1987, 49:232-244.
    • (1987) Arch. Math. , vol.49 , pp. 232-244
    • Cascales, B.1
  • 7
    • 78649630995 scopus 로고    scopus 로고
    • Number of K-determination of topological spaces, preprint.
    • B. Cascales M. Muñoz, J. Orihuela, Number of K-determination of topological spaces, preprint.
    • Cascales, B.1    Muñoz, M.2    Orihuela, J.3
  • 8
    • 0002685765 scopus 로고
    • On compactness in locally convex spaces
    • Cascales B., Orihuela J. On compactness in locally convex spaces. Math. Z. 1987, 195:365-381.
    • (1987) Math. Z. , vol.195 , pp. 365-381
    • Cascales, B.1    Orihuela, J.2
  • 9
    • 0009798349 scopus 로고
    • A sequential property of set-valued maps
    • Cascales B., Orihuela J. A sequential property of set-valued maps. J. Math. Anal. Appl. 1991, 156(1):86-100.
    • (1991) J. Math. Anal. Appl. , vol.156 , Issue.1 , pp. 86-100
    • Cascales, B.1    Orihuela, J.2
  • 10
    • 0003361143 scopus 로고
    • Topology and Borel Structure
    • North-Holland, Amsterdam
    • Christensen J.P.R. Topology and Borel Structure. Math. Stud. 1974, vol. 10. North-Holland, Amsterdam.
    • (1974) Math. Stud. , vol.10
    • Christensen, J.P.R.1
  • 14
    • 15944368862 scopus 로고
    • On a theorem of Arhangel'skii concerning Lindelöf p-spaces
    • Hodel R.E. On a theorem of Arhangel'skii concerning Lindelöf p-spaces. Canad. J. Math. 1975, 27(2):459-468.
    • (1975) Canad. J. Math. , vol.27 , Issue.2 , pp. 459-468
    • Hodel, R.E.1
  • 15
    • 78649632139 scopus 로고
    • Cardinal Functions in Topology - Ten Years Later, Mathematical Centre Tracts, Amsterdam
    • I. Juhász, Cardinal Functions in Topology - Ten Years Later, Mathematical Centre Tracts, vol. 123, Amsterdam, 1980.
    • (1980) , vol.123
    • Juhász, I.1
  • 16
    • 0000798872 scopus 로고
    • Convergent free sequences in compact spaces
    • Juhász I., Szentmiklóssy Z. Convergent free sequences in compact spaces. Proc. Amer. Math. Soc. 1992, 116(4):1153-1160.
    • (1992) Proc. Amer. Math. Soc. , vol.116 , Issue.4 , pp. 1153-1160
    • Juhász, I.1    Szentmiklóssy, Z.2
  • 17
    • 0036807128 scopus 로고    scopus 로고
    • Montel (DF)-spaces, sequential (LM)-spaces and the strongest locally convex topology
    • Kaakol J., Saxon S.A. Montel (DF)-spaces, sequential (LM)-spaces and the strongest locally convex topology. J. London Math. Soc. (2) 2002, 66(2):388-406.
    • (2002) J. London Math. Soc. (2) , vol.66 , Issue.2 , pp. 388-406
    • Kaakol, J.1    Saxon, S.A.2
  • 18
    • 0000729099 scopus 로고
    • א0-Spaces
    • Michael E. א0-Spaces. J. Math. Mech. 1966, 15(6):983-1002.
    • (1966) J. Math. Mech. , vol.15 , Issue.6 , pp. 983-1002
    • Michael, E.1
  • 19
    • 0002365425 scopus 로고
    • Contribution à la topologie des ensembles dénombrables
    • Mazurkiewicz S., Sierpiński W. Contribution à la topologie des ensembles dénombrables. Fund. Math. 1920, 1:17-27.
    • (1920) Fund. Math. , vol.1 , pp. 17-27
    • Mazurkiewicz, S.1    Sierpiński, W.2
  • 20
    • 78649632057 scopus 로고    scopus 로고
    • Indice de K-determinación de Espacios Topológicos y σ-Fragmentabilidad de Aplicaciones, PhD thesis, Department of Mathematics, Murcia University, Murcia, Spain.
    • M. Muñoz, Indice de K-determinación de Espacios Topológicos y σ-Fragmentabilidad de Aplicaciones, PhD thesis, Department of Mathematics, Murcia University, Murcia, Spain.
    • Muñoz, M.1
  • 21
    • 0037920814 scopus 로고
    • On Lindelöf Σ-spaces of continuous functions in the pointwise topology
    • Okunev O.G. On Lindelöf Σ-spaces of continuous functions in the pointwise topology. Topology Appl. 1993, 49(2):149-166.
    • (1993) Topology Appl. , vol.49 , Issue.2 , pp. 149-166
    • Okunev, O.G.1
  • 22
    • 0038629612 scopus 로고
    • Pointwise compactness in spaces of continuous functions
    • Orihuela J. Pointwise compactness in spaces of continuous functions. J. London Math. Soc. (2) 1987, 36(1):143-152.
    • (1987) J. London Math. Soc. (2) , vol.36 , Issue.1 , pp. 143-152
    • Orihuela, J.1
  • 23
    • 0004546285 scopus 로고
    • K-analytic sets
    • Academic Press Inc., London
    • Rogers C.A., Jayne J.E. K-analytic sets. Analytic Sets 1980, 1-181. Academic Press Inc., London.
    • (1980) Analytic Sets , pp. 1-181
    • Rogers, C.A.1    Jayne, J.E.2
  • 24
    • 0038719449 scopus 로고
    • Basic S and L
    • North-Holland, Amsterdam, K. Kunen, J.E. Vaughan (Eds.)
    • Roitman J. Basic S and L. Handbook of Set-Theoretic Topology 1984, 295-326. North-Holland, Amsterdam. K. Kunen, J.E. Vaughan (Eds.).
    • (1984) Handbook of Set-Theoretic Topology , pp. 295-326
    • Roitman, J.1
  • 25
    • 0001086579 scopus 로고
    • Espaces de Banach faiblement K-analytiques
    • Talagrand M. Espaces de Banach faiblement K-analytiques. Ann. of Math. 1979, 110:407-438.
    • (1979) Ann. of Math. , vol.110 , pp. 407-438
    • Talagrand, M.1
  • 26
    • 21444458014 scopus 로고    scopus 로고
    • A space Cp(X) is dominated by irrationals if and only if it is K-analytic
    • Tkachuk V.V. A space Cp(X) is dominated by irrationals if and only if it is K-analytic. Acta Math. Hungar. 2005, 107(4):253-265.
    • (2005) Acta Math. Hungar. , vol.107 , Issue.4 , pp. 253-265
    • Tkachuk, V.V.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.