메뉴 건너뛰기




Volumn 9, Issue 2, 2003, Pages 291-308

On some generalizations of compactness in spaces Cp(X, 2) and Cp(X, ℤ)

Author keywords

pseudocompact space; C compact spaces; Eberlein compact space; Eberlein Grothendieck space; Pseudocompact spaces; sk directed properties; Spaces of continuous functions; Ultracompact spaces

Indexed keywords


EID: 2142681874     PISSN: 1405213X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (8)

References (20)
  • 1
    • 84956226862 scopus 로고
    • On relations between invariants of topological groups and their subspaces
    • [a]
    • [a] A. V. ARHANGEL'SKII, On relations between invariants of topological groups and their subspaces, Russian Math. Surveys 35 (1980), 1-23.
    • (1980) Russian Math. Surveys , vol.35 , pp. 1-23
    • Arhangel'skii, A.V.1
  • 2
    • 0007554281 scopus 로고
    • Function spaces in the topology of pointwise convergence, and compact sets
    • [a1]
    • [a1] A.V. ARHANGEL'SKII, Function spaces in the topology of pointwise convergence, and compact sets, Russian Math. Surveys 39 (1984), 9-56.
    • (1984) Russian Math. Surveys , vol.39 , pp. 9-56
    • Arhangel'skii, A.V.1
  • 3
    • 0038015775 scopus 로고
    • Topological Function Spaces
    • [a2] Kluwer Academic Publishers, Dordrecht-boston-london
    • [a2] A.V. ARHANGEL'SKII, Topological Function Spaces, Kluwer Academic Publishers, Mathematics and its Applications, Dordrecht-Boston-London, 78, 1992.
    • (1992) Mathematics and Its Applications , vol.78
    • Arhangel'skii, A.V.1
  • 4
    • 0010155581 scopus 로고
    • A new kind of compactness for topological spaces
    • [B]
    • [B] A.R. BERNSTEIN, A new kind of compactness for topological spaces, Fund. Math. 66 (1970), 185-193.
    • (1970) Fund. Math. , vol.66 , pp. 185-193
    • Bernstein, A.R.1
  • 6
    • 0028589058 scopus 로고
    • Some Generalizations of pseudocompactness
    • [GF1]
    • [GF1] S. GAKCÍA-FERREIRA, Some Generalizations of pseudocompactness, Ann. New York Acad. Sc. 728 (1994), 22-31.
    • (1994) Ann. New York Acad. Sc. , vol.728 , pp. 22-31
    • Gakcía-Ferreira, S.1
  • 8
    • 84972552196 scopus 로고
    • Some applications of ultrafilters in topology
    • [GS]
    • [GS] J. GINSBURG AND V. SAKS, Some applications of ultrafilters in topology, Pacific J. Math. 57 (1975), 403-418.
    • (1975) Pacific J. Math. , vol.57 , pp. 403-418
    • Ginsburg, J.1    Saks, V.2
  • 9
    • 0039669881 scopus 로고
    • Topological Properties of Spaces of Continuous Functions
    • [McT], Springer Verlag, Berlin-Heidelberg
    • [McT] R. A. MCCOY AND I. NTANTU, Topological Properties of Spaces of Continuous Functions, Lecture Notes in Mathematics, Springer Verlag, Berlin-Heidelberg 1315, 1988.
    • (1988) Lecture Notes in Mathematics , vol.1315
    • McCoy, R.A.1    Ntantu, I.2
  • 10
    • 0037920814 scopus 로고
    • On Lindelöf ∑,-spaces of continuous functions in the pointwise topology
    • [O]
    • [O] O.G. OKUNEV, On Lindelöf ∑,-spaces of continuous functions in the pointwise topology, Topology Appl. 49 (1993), 149-166.
    • (1993) Topology Appl. , vol.49 , pp. 149-166
    • Okunev, O.G.1
  • 11
    • 77956940493 scopus 로고
    • Function spaces
    • [OT], eds. K. Morita and J. Nagata, North Holland, Amsterdam-New York-Oxford-Tokyo
    • [OT] A. OKUYAMA AND T. TERADA, Function spaces, Topics in General Topology, eds. K. Morita and J. Nagata, North Holland, Amsterdam-New York-Oxford-Tokyo, 41 (1989), 411-458.
    • (1989) Topics in General Topology , vol.41 , pp. 411-458
    • Okuyama, A.1    Terada, T.2
  • 12
    • 2142682494 scopus 로고
    • A weakly pseudocompact subspace of Banach space is weakly compact
    • [PS]
    • [PS] D. PREISS AND P. SIMON, A weakly pseudocompact subspace of Banach space is weakly compact, Comm. Math. Univ. Carolinae 15 (4), (1974), 603-609.
    • (1974) Comm. Math. Univ. Carolinae , vol.15 , Issue.4 , pp. 603-609
    • Preiss, D.1    Simon, P.2
  • 13
    • 0036510707 scopus 로고    scopus 로고
    • Product of quasi-p-pseudocompact spaces
    • [ST1]
    • [ST1] M. SANCHIS AND A. TAMARIZ-MASCARÚA, Product of quasi-p-pseudocompact spaces, Math. Hung. 94 (4), (2002), 289-306.
    • (2002) Math. Hung. , vol.94 , Issue.4 , pp. 289-306
    • Sanchis, M.1    Tamariz-Mascarúa, A.2
  • 14
    • 0037653471 scopus 로고    scopus 로고
    • A note on p-bounded and quasi-p-bounded subsets
    • [ST2]
    • [ST2] M. SANCHIS AND A. TAMARIZ-MASCARÚA, A note on p-bounded and quasi-p-bounded subsets, Houston J. Math. 28 (3), (2002), 511-527.
    • (2002) Houston J. Math. , vol.28 , Issue.3 , pp. 511-527
    • Sanchis, M.1    Tamariz-Mascarúa, A.2
  • 15
    • 0010213024 scopus 로고    scopus 로고
    • On quasi-p-bounded subsets
    • [ST3]
    • [ST3] M. SANCHIS AND A. TAMARIZ-MASCARÚA, On quasi-p-bounded subsets, Coll. Math. 80 (1999), 175-189.
    • (1999) Coll. Math. , vol.80 , pp. 175-189
    • Sanchis, M.1    Tamariz-Mascarúa, A.2
  • 16
    • 38249043185 scopus 로고
    • A pseudocompact Tychonoff space all countable subsets of which are closed and C*-embedded
    • [S]
    • [S] D.B. SHAKHMATOV, A pseudocompact Tychonoff space all countable subsets of which are closed and C*-embedded, Topology Appl. 22 (1986), 139-144.
    • (1986) Topology Appl. , vol.22 , pp. 139-144
    • Shakhmatov, D.B.1
  • 18
    • 0038040744 scopus 로고
    • p(X): Decomposition into a countable union of bounded subspaces and completeness properties
    • [Tk]
    • p(X): decomposition into a countable union of bounded subspaces and completeness properties, Topology Appl. 22 (1986), 241-253.
    • (1986) Topology Appl. , vol.22 , pp. 241-253
    • Tkachuk, V.V.1
  • 20
    • 0002380964 scopus 로고
    • Countably compact and sequentially compact spaces
    • [V], Ch. 12, eds. K. Kunen and J.E. Vaughan, North Holland, Amsterdam
    • [V] J.E. VAUGHAN, Countably compact and sequentially compact spaces, Handbook of Set-Theoretic Topology, Ch. 12, eds. K. Kunen and J.E. Vaughan, North Holland, Amsterdam (1984), 569-602.
    • (1984) Handbook of Set-theoretic Topology , pp. 569-602
    • Vaughan, J.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.