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Volumn 154, Issue 7 SPEC. ISS., 2007, Pages 1321-1340

CLP-compactness for topological spaces and groups

Author keywords

CLP compact group; CLP compact space; Compact abelian group; Precompact group; Pseudocompact group; Totally minimal group

Indexed keywords


EID: 33847743925     PISSN: 01668641     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.topol.2006.04.021     Document Type: Article
Times cited : (4)

References (35)
  • 1
    • 33847693071 scopus 로고    scopus 로고
    • A. Berarducci, D. Dikranjan, J. Pelant, Straight topological groups, Preprint
  • 2
    • 84968480792 scopus 로고
    • A connected countable Hausdorff space
    • Bing R.H. A connected countable Hausdorff space. Proc. Amer. Math. Soc. 4 (1953) 474
    • (1953) Proc. Amer. Math. Soc. , vol.4 , pp. 474
    • Bing, R.H.1
  • 3
    • 7544249140 scopus 로고    scopus 로고
    • Eberlein-Šmulyan theorem for Abelian topological groups
    • Bruguera M., Peinador E.M., and Tarieladze V. Eberlein-Šmulyan theorem for Abelian topological groups. J. London Math. Soc. 70 (2004) 341-355
    • (2004) J. London Math. Soc. , vol.70 , pp. 341-355
    • Bruguera, M.1    Peinador, E.M.2    Tarieladze, V.3
  • 4
    • 0002267881 scopus 로고
    • Concerning connected, pseudocompact Abelian groups
    • Comfort W., and van Mill J. Concerning connected, pseudocompact Abelian groups. Topology Appl. 33 (1989) 21-45
    • (1989) Topology Appl. , vol.33 , pp. 21-45
    • Comfort, W.1    van Mill, J.2
  • 5
    • 84972528320 scopus 로고
    • Pseudocompactness and uniform continuity in topological groups
    • Comfort W.W., and Ross K. Pseudocompactness and uniform continuity in topological groups. Pacific J. Math. 16 (1966) 483-496
    • (1966) Pacific J. Math. , vol.16 , pp. 483-496
    • Comfort, W.W.1    Ross, K.2
  • 6
    • 84972570839 scopus 로고
    • Countably compact groups and finest totally bounded topologies
    • Comfort W., and Saks V. Countably compact groups and finest totally bounded topologies. Pacific J. Math. 49 (1973) 33-44
    • (1973) Pacific J. Math. , vol.49 , pp. 33-44
    • Comfort, W.1    Saks, V.2
  • 7
    • 0038247697 scopus 로고
    • Dimension and connectedness in pseudocompact groups
    • Dikranjan D. Dimension and connectedness in pseudocompact groups. C. R. Acad. Sci. Paris 316 Série I (1993) 309-314
    • (1993) C. R. Acad. Sci. Paris , vol.316 , Issue.Se-rie I , pp. 309-314
    • Dikranjan, D.1
  • 8
    • 84966262050 scopus 로고
    • Zero-dimensionality of some pseudocompact groups
    • Dikranjan D. Zero-dimensionality of some pseudocompact groups. Proc. Amer. Math. Soc. 120 4 (1994) 1299-1308
    • (1994) Proc. Amer. Math. Soc. , vol.120 , Issue.4 , pp. 1299-1308
    • Dikranjan, D.1
  • 9
    • 0037910156 scopus 로고    scopus 로고
    • Compactness and connectedness in topological groups
    • Dikranjan D. Compactness and connectedness in topological groups. Topology Appl. 84 1-3 (1998) 227-252
    • (1998) Topology Appl. , vol.84 , Issue.1-3 , pp. 227-252
    • Dikranjan, D.1
  • 11
    • 33847742108 scopus 로고    scopus 로고
    • D. Dikranjan, A. Giordano Bruno, C. Milan, Weakly metrizable pseudocompact groups, Appl. Gen. Topology 6 (2) (2005), in press
  • 14
    • 4243418373 scopus 로고    scopus 로고
    • Algebraic structure of pseudocompact groups
    • pp
    • Dikranjan D., and Shakhmatov D. Algebraic structure of pseudocompact groups. Mem. Amer. Math. Soc. 133 633 (1998) x+83 pp
    • (1998) Mem. Amer. Math. Soc. , vol.133 , Issue.633
    • Dikranjan, D.1    Shakhmatov, D.2
  • 15
    • 0002432379 scopus 로고
    • The maximal totally bounded group topology on G and the biggest minimal G-space for Abelian groups G
    • van Douwen E.K. The maximal totally bounded group topology on G and the biggest minimal G-space for Abelian groups G. Topology Appl. 34 (1990) 69-91
    • (1990) Topology Appl. , vol.34 , pp. 69-91
    • van Douwen, E.K.1
  • 16
    • 0009987203 scopus 로고
    • On the product of two (totally) minimal topological groups and the three-space-problem
    • Eberhardt V., Dierolf S., and Schwanengel U. On the product of two (totally) minimal topological groups and the three-space-problem. Math. Ann. 251 2 (1980) 123-128
    • (1980) Math. Ann. , vol.251 , Issue.2 , pp. 123-128
    • Eberhardt, V.1    Dierolf, S.2    Schwanengel, U.3
  • 17
    • 84972503987 scopus 로고
    • Locally compact transformation groups
    • Ellis R. Locally compact transformation groups. Duke Math. J. 24 (1957) 119-125
    • (1957) Duke Math. J. , vol.24 , pp. 119-125
    • Ellis, R.1
  • 19
    • 84968465405 scopus 로고
    • Stone-Čech compactifications of products
    • Glicksberg I. Stone-Čech compactifications of products. Trans. Amer. Math. Soc. 90 (1959) 369-382
    • (1959) Trans. Amer. Math. Soc. , vol.90 , pp. 369-382
    • Glicksberg, I.1
  • 20
    • 0001535687 scopus 로고
    • Uniform boundedness for groups
    • Glicksberg I. Uniform boundedness for groups. Canad. J. Math. 14 (1962) 269-276
    • (1962) Canad. J. Math. , vol.14 , pp. 269-276
    • Glicksberg, I.1
  • 21
    • 0040172259 scopus 로고    scopus 로고
    • A characterization of the Schur property by means of the Bohr topology
    • Hernández S., Galindo J., and Macario S. A characterization of the Schur property by means of the Bohr topology. Topology Appl. 97 1-2 (1999) 99-108
    • (1999) Topology Appl. , vol.97 , Issue.1-2 , pp. 99-108
    • Hernández, S.1    Galindo, J.2    Macario, S.3
  • 23
    • 0040646142 scopus 로고    scopus 로고
    • G-minimal topological groups
    • Abelian Groups, Module Theory, and Topology, Padua, 1997. Dikranjan D., and Salce L. (Eds), Dekker, New York
    • Megrelishvili M. G-minimal topological groups. In: Dikranjan D., and Salce L. (Eds). Abelian Groups, Module Theory, and Topology, Padua, 1997. Lecture Notes in Pure and Appl. Math. vol. 201 (1998), Dekker, New York 289-299
    • (1998) Lecture Notes in Pure and Appl. Math. , vol.201 , pp. 289-299
    • Megrelishvili, M.1
  • 24
    • 84968480677 scopus 로고
    • Almost periodic functions in a group I
    • von Neumann J. Almost periodic functions in a group I. Trans. Amer. Math. Soc. 36 (1934) 445-492
    • (1934) Trans. Amer. Math. Soc. , vol.36 , pp. 445-492
    • von Neumann, J.1
  • 25
    • 0000008090 scopus 로고
    • Abelian groups which satisfy Pontryagin duality need not respect compactness
    • Remus D., and Trigos-Arrieta F. Abelian groups which satisfy Pontryagin duality need not respect compactness. Proc. Amer. Math. Soc. 117 4 (1993) 1195-1200
    • (1993) Proc. Amer. Math. Soc. , vol.117 , Issue.4 , pp. 1195-1200
    • Remus, D.1    Trigos-Arrieta, F.2
  • 26
    • 0011572133 scopus 로고
    • A survey of current researches and open problems in the dimension theory of topological groups
    • Shakhmatov D. A survey of current researches and open problems in the dimension theory of topological groups. Questions Answers Gen. Topology 8 (1990) 101-128
    • (1990) Questions Answers Gen. Topology , vol.8 , pp. 101-128
    • Shakhmatov, D.1
  • 27
    • 0042248711 scopus 로고
    • On zero-dimensionality of subgroups of locally compact groups
    • Shakhmatov D. On zero-dimensionality of subgroups of locally compact groups. Comment. Math. Univ. Carolin. 32 3 (1991) 581-582
    • (1991) Comment. Math. Univ. Carolin. , vol.32 , Issue.3 , pp. 581-582
    • Shakhmatov, D.1
  • 28
    • 15944376429 scopus 로고
    • On clp-compact and countably clp-compact spaces
    • Mathematics, Latv. Univ., Riga
    • Sondore A., and Šostak A. On clp-compact and countably clp-compact spaces. Mathematics. Latv. Univ. Zināt. Raksti vol. 595 (1994), Latv. Univ., Riga 123-142
    • (1994) Latv. Univ. Zināt. Raksti , vol.595 , pp. 123-142
    • Sondore, A.1    Šostak, A.2
  • 29
    • 0009988843 scopus 로고
    • Minimal topological groups
    • Stephenson Jr. R.M. Minimal topological groups. Math. Ann. 192 (1971) 193-195
    • (1971) Math. Ann. , vol.192 , pp. 193-195
    • Stephenson Jr., R.M.1
  • 30
    • 33847733008 scopus 로고    scopus 로고
    • J. Steprāns, Products of sequential CLP-compact spaces, in: CMS/CSHPM Summer 2005 Meeting, Waterloo (Abstracts), and Preprint
  • 31
    • 33847694251 scopus 로고    scopus 로고
    • J. Steprāns, A regular CLP-compact space of countable tightness whose square is not CLP-compact, Talk given at the Set Theory Seminar (June 2005), Fields Institute, Toronto
  • 32
    • 15944421869 scopus 로고    scopus 로고
    • Restricted compactness properties and their preservation under products
    • Steprāns J., and Šostak A. Restricted compactness properties and their preservation under products. Topology Appl. 101 3 (2000) 213-229
    • (2000) Topology Appl. , vol.101 , Issue.3 , pp. 213-229
    • Steprans, J.1    Šostak, A.2
  • 34
    • 0038688709 scopus 로고    scopus 로고
    • Independent group topologies on abelian groups
    • Tkachenko M., and Yaschenko I. Independent group topologies on abelian groups. Topology Appl. 122 1-2 (2002) 425-451
    • (2002) Topology Appl. , vol.122 , Issue.1-2 , pp. 425-451
    • Tkachenko, M.1    Yaschenko, I.2
  • 35
    • 84968513539 scopus 로고
    • Dense subgroups of compact groups
    • Wilcox H. Dense subgroups of compact groups. Proc. Amer. Math. Soc. 28 (1971) 578-580
    • (1971) Proc. Amer. Math. Soc. , vol.28 , pp. 578-580
    • Wilcox, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.