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Volumn 127, Issue 8, 1999, Pages 2497-2504

A characterization of σ-compactness of a cosmic space x by means of subspaces of Rx

Author keywords

Function spaces; K analytic spaces; Topology of pointwise convergence; compactness

Indexed keywords


EID: 15944426941     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9939-99-04782-6     Document Type: Article
Times cited : (13)

References (21)
  • 1
    • 0009079392 scopus 로고
    • An addition theorem for the weight of sets lying in bicompacta
    • In Russian. MR 21:5176
    • A.V. Arhangel'skii, An addition theorem for the weight of sets lying in bicompacta, DAN CCCP, 126, (1959), 239-241. (In Russian.) MR 21:5176
    • (1959) DAN CCCP , vol.126 , pp. 239-241
    • Arhangel'Skii, A.V.1
  • 2
    • 0007554281 scopus 로고
    • Function spaces in the topology of pointwise convergence and compact sets
    • A.V. Arhangel'skii, Function spaces in the topology of pointwise convergence and compact sets, Russian Math. Surveys 39:5 (1984), 9-56.
    • (1984) Russian Math. Surveys , vol.39 , Issue.5 , pp. 9-56
    • Arhangel'Skii, A.V.1
  • 3
    • 0038015775 scopus 로고
    • Topological function spaces
    • Kluwer Academic Publishers Group, Dordrecht, MR 92i:54022
    • A.V. Arhangel'skii, Topological function spaces, Mathematics and its Applications (Soviet Series), v.78 Kluwer Academic Publishers Group, Dordrecht, 1992. MR 92i:54022
    • (1992) Mathematics and Its Applications (Soviet Series) , vol.78
    • Arhangel'Skii, A.V.1
  • 5
    • 84966258470 scopus 로고
    • Embedding cosmic spaces in Lusin spaces
    • MR 84h:54037
    • A. Bešlagić, Embedding cosmic spaces in Lusin spaces, Proc. Amer. Math. Soc. 89:3 (1983), 515-518. MR 84h:54037
    • (1983) Proc. Amer. Math. Soc. , vol.89 , Issue.3 , pp. 515-518
    • Bešlagić, A.1
  • 6
    • 33646853489 scopus 로고
    • Une propriété des espaces topologiques réguliers, images continues d'espaces métrisables séparables
    • MR 83j:54029
    • J. Calbrix, Une propriété des espaces topologiques réguliers, images continues d'espaces métrisables séparables, C. R. Acad. Sc. Paris, t. 295, (1982), 81-82. MR 83j:54029
    • (1982) C. R. Acad. Sc. Paris , vol.295 , pp. 81-82
    • Calbrix, J.1
  • 7
    • 0043015618 scopus 로고
    • σ et espaces des applications continues
    • MR 87d:54064
    • σ et espaces des applications continues, Bull. Soc. Math. France, 113, (1985), 183-203. MR 87d:54064
    • (1985) Bull. Soc. Math. France , vol.113 , pp. 183-203
    • Calbrix, J.1
  • 8
    • 0042481041 scopus 로고
    • Filtres sur les entiers et ensembles analytiques
    • MR 88j:54051
    • J. Calbrix, Filtres sur les entiers et ensembles analytiques, C. R. Acad. Sc. Paris, t. 305, (1987), 109-111. MR 88j:54051
    • (1987) C. R. Acad. Sc. Paris , vol.305 , pp. 109-111
    • Calbrix, J.1
  • 9
    • 33645901229 scopus 로고    scopus 로고
    • K-spaces and Borel filters on the set of integers
    • In French. MR 96h:54025
    • J. Calbrix, k-spaces and Borel filters on the set of integers, Trans. Amer. Math. Soc., 348, 1996, 2085-2090. (In French.) MR 96h:54025
    • (1996) Trans. Amer. Math. Soc. , vol.348 , pp. 2085-2090
    • Calbrix, J.1
  • 10
    • 0038679070 scopus 로고
    • Ensembles K-analytiques et K-Sousliniens
    • MR 22:3692a
    • G. Choquet, Ensembles K-analytiques et K-Sousliniens, Ann. Inst. Fourier, 9, 1959, 77-81. MR 22:3692a
    • (1959) Ann. Inst. Fourier , vol.9 , pp. 77-81
    • Choquet, G.1
  • 12
    • 17244376495 scopus 로고
    • General Topology
    • MR 91c:54001
    • R. Engelking, General Topology, Heldermann, (1989). MR 91c:54001
    • (1989) Heldermann
    • Engelking, R.1
  • 13
  • 14
    • 84976015460 scopus 로고
    • Structure of analytic Hausdorff spaces
    • MR 57:1451
    • J.E. Jayne, Structure of analytic Hausdorff spaces, Mathematika 23, (1976), 208-211. MR 57:1451
    • (1976) Mathematika , vol.23 , pp. 208-211
    • Jayne, J.E.1
  • 15
    • 84972270139 scopus 로고
    • Borel isomorphisms at the first level, I, II
    • and 27 (1980), 236-260. MR 81h:54048a; MR 81h:54048b; MR 82e:54043
    • J.E. Jayne and C.A. Rogers, Borel isomorphisms at the first level, I, II, Mathematika 26, (1979), 125-179, and 27 (1980), 236-260. MR 81h:54048a; MR 81h:54048b; MR 82e:54043
    • (1979) Mathematika , vol.26 , pp. 125-179
    • Jayne, J.E.1    Rogers, C.A.2
  • 18
    • 0037920814 scopus 로고
    • On Lindelöf ∑-spaces of continuous functions in the pointwise topology
    • MR 94b:54055
    • O.G. Okunev, On Lindelöf ∑-spaces of continuous functions in the pointwise topology, Topology and Appl., 49, (1993), 149-166. MR 94b:54055
    • (1993) Topology and Appl. , vol.49 , pp. 149-166
    • Okunev, O.G.1
  • 19
    • 85202307195 scopus 로고
    • Weak topology of an associated space, and t-equivalence
    • MR 91h:46008
    • O.G. Okunev, Weak topology of an associated space, and t-equivalence, Math. Notes 41:1-3 (1990), 534-539. MR 91h:46008
    • (1990) Math. Notes , vol.41 , Issue.1-3 , pp. 534-539
    • Okunev, O.G.1
  • 20
    • 0842316400 scopus 로고
    • On analyticity in cosmic spaces
    • MR 94h:54032
    • O.G. Okunev, On analyticity in cosmic spaces, Comment. Math. Univ. Carolinae 34:1 (1993), 185-190. MR 94h:54032
    • (1993) Comment. Math. Univ. Carolinae , vol.34 , Issue.1 , pp. 185-190
    • Okunev, O.G.1


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