메뉴 건너뛰기




Volumn 384, Issue 2, 2011, Pages 320-330

Reflexivity of prodiscrete topological groups

Author keywords

Compact; Complete; Direct product; P group; P modification; Pontryagin's duality; Prodiscrete; Protodiscrete; Reflexive; product; Bounded

Indexed keywords


EID: 79961031064     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1016/j.jmaa.2011.05.063     Document Type: Article
Times cited : (6)

References (21)
  • 1
    • 79961022156 scopus 로고    scopus 로고
    • Precompact noncompact reflexive abelian groups, Forum Math., in press, available at
    • S. Ardanza-Trevijano, M.J. Chasco, X. Domínguez, M.G. Tkachenko, Precompact noncompact reflexive abelian groups, Forum Math., in press, available at, 2010. http://arxiv.org/pdf/1001.4895v1.
    • (2010)
    • Ardanza-Trevijano, S.1    Chasco, M.J.2    Domínguez, X.3    Tkachenko, M.G.4
  • 2
    • 61549114180 scopus 로고    scopus 로고
    • Topological Groups and Related Structures
    • Atlantis Press/World Scientific, Paris, Amsterdam
    • Arhangel'skii A.V., Tkachenko M.G. Topological Groups and Related Structures. Atlantis Ser. Math. 2008, vol. I. Atlantis Press/World Scientific, Paris, Amsterdam.
    • (2008) Atlantis Ser. Math. , vol.1
    • Arhangel'skii, A.V.1    Tkachenko, M.G.2
  • 3
    • 79961029285 scopus 로고    scopus 로고
    • Contributions to the Duality theory of Abelian topological groups and to the theory of nuclear groups, PhD dissertation, Der Mathematischen Fakultät der Eberhard-Karls-Universität Tübingen zur Erlangung des Grades eines Doktors der Naturwissenscheaften.
    • L. Außenhofer, Contributions to the Duality theory of Abelian topological groups and to the theory of nuclear groups, PhD dissertation, Der Mathematischen Fakultät der Eberhard-Karls-Universität Tübingen zur Erlangung des Grades eines Doktors der Naturwissenscheaften, 1998.
    • (1998)
    • Außenhofer, L.1
  • 7
    • 0032221011 scopus 로고    scopus 로고
    • Pontryagin duality for metrizable groups
    • Chasco M.J. Pontryagin duality for metrizable groups. Arch. Math. 1998, 70(1):22-28.
    • (1998) Arch. Math. , vol.70 , Issue.1 , pp. 22-28
    • Chasco, M.J.1
  • 9
    • 70350728802 scopus 로고    scopus 로고
    • Quasi-convex density and determining subgroups of compact abelian groups
    • Dikranjan D., Shakhmatov D.B. Quasi-convex density and determining subgroups of compact abelian groups. J. Math. Anal. Appl. 2010, 363(1):42-48.
    • (2010) J. Math. Anal. Appl. , vol.363 , Issue.1 , pp. 42-48
    • Dikranjan, D.1    Shakhmatov, D.B.2
  • 10
    • 0039591542 scopus 로고    scopus 로고
    • Structure and analysis on nuclear groups
    • Galindo J. Structure and analysis on nuclear groups. Houston J. Math. 2000, 26:315-334.
    • (2000) Houston J. Math. , vol.26 , pp. 315-334
    • Galindo, J.1
  • 11
    • 78649445096 scopus 로고    scopus 로고
    • Pseudocompact group topologies with no infinite compact subsets
    • Galindo J., Macario S. Pseudocompact group topologies with no infinite compact subsets. J. Pure Appl. Algebra 2011, 215:655-663.
    • (2011) J. Pure Appl. Algebra , vol.215 , pp. 655-663
    • Galindo, J.1    Macario, S.2
  • 13
    • 51249101689 scopus 로고    scopus 로고
    • Uncountable products of determined groups need not be determined
    • Hernández S., Macario S., Trigos-Arrieta F.J. Uncountable products of determined groups need not be determined. J. Math. Anal. Appl. 2008, 348(2):834-842.
    • (2008) J. Math. Anal. Appl. , vol.348 , Issue.2 , pp. 834-842
    • Hernández, S.1    Macario, S.2    Trigos-Arrieta, F.J.3
  • 16
    • 76749171436 scopus 로고    scopus 로고
    • The Lie Theory of Connected Pro-Lie Groups. A Structure Theory for Pro-Lie Algebras, Pro-Lie Groups, and Connected Locally Compact Groups
    • European Mathematical Society (EMS), Zürich
    • Hofmann K.-H., Morris S.A. The Lie Theory of Connected Pro-Lie Groups. A Structure Theory for Pro-Lie Algebras, Pro-Lie Groups, and Connected Locally Compact Groups. EMS Tracts Math. 2007, vol. 2. European Mathematical Society (EMS), Zürich.
    • (2007) EMS Tracts Math. , vol.2
    • Hofmann, K.-H.1    Morris, S.A.2
  • 17
    • 0000142226 scopus 로고
    • Extension of the Pontryagin duality I: Infinite products
    • Kaplan S. Extension of the Pontryagin duality I: Infinite products. Duke Math. J. 1948, 15:649-658.
    • (1948) Duke Math. J. , vol.15 , pp. 649-658
    • Kaplan, S.1
  • 18
    • 0038495059 scopus 로고
    • Zur Dualitätstheorie projektiver Limites abelscher Gruppen
    • Leptin H. Zur Dualitätstheorie projektiver Limites abelscher Gruppen. Abh. Math. Semin. Univ. Hambg. 1955, 19:264-268.
    • (1955) Abh. Math. Semin. Univ. Hambg. , vol.19 , pp. 264-268
    • Leptin, H.1
  • 19
    • 84951601106 scopus 로고
    • Abelsche Gruppen mit kompakten Charaktergruppen und Dualitätstheorie gewisser linear topologischer abelscher Gruppen
    • Leptin H. Abelsche Gruppen mit kompakten Charaktergruppen und Dualitätstheorie gewisser linear topologischer abelscher Gruppen. Abh. Math. Semin. Univ. Hambg. 1955, 19:244-263.
    • (1955) Abh. Math. Semin. Univ. Hambg. , vol.19 , pp. 244-263
    • Leptin, H.1
  • 20
    • 0041138949 scopus 로고
    • Almost metrizable topological groups
    • (in Russian)
    • Pasynkov B.A. Almost metrizable topological groups. Dokl. Akad. Nauk SSSR 1965, 161:281-284. (in Russian).
    • (1965) Dokl. Akad. Nauk SSSR , vol.161 , pp. 281-284
    • Pasynkov, B.A.1
  • 21
    • 84971124116 scopus 로고
    • A theorem on the continuity of homomorphisms of locally compact groups
    • Varopoulos N.Th. A theorem on the continuity of homomorphisms of locally compact groups. Proc. Cambridge Philos. Soc. 1964, 60:449-463.
    • (1964) Proc. Cambridge Philos. Soc. , vol.60 , pp. 449-463
    • Varopoulos, N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.