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Volumn 99, Issue 6, 2012, Pages 583-588

On reflexive group topologies on abelian groups of finite exponent

Author keywords

Abelian group of finite exponent; Dual group; Linear group topology; Pontryagin reflexive; Respect compactness

Indexed keywords


EID: 84871337442     PISSN: 0003889X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00013-012-0455-2     Document Type: Article
Times cited : (14)

References (7)
  • 2
    • 0032221011 scopus 로고    scopus 로고
    • Pontryagin duality for metrizable groups
    • Chasco M. J.: Pontryagin duality for metrizable groups, Arch. Math. 70, 22-28 (1998).
    • (1998) Arch. Math. , vol.70 , pp. 22-28
    • Chasco, M.J.1
  • 3
    • 84860794184 scopus 로고    scopus 로고
    • A survey on strong reflexivity of abelian topological groups
    • Chasco M. J., Dikranjan D., Martín-Peinador E.: A survey on strong reflexivity of abelian topological groups. Topology Appl. 159, 2290-2309 (2012).
    • (2012) Topology Appl. , vol.159 , pp. 2290-2309
    • Chasco, M.J.1    Dikranjan, D.2    Martín-Peinador, E.3
  • 4
    • 0004029110 scopus 로고
    • Pergamon Press, London, third edition, reprinted. Budapest: Publishing House of the Hungarian Academy of Sciences 1958
    • L. Fuchs, Abelian groups, Budapest: Publishing House of the Hungarian Academy of Sciences 1958, Pergamon Press, London, third edition, reprinted 1967.
    • (1967) Abelian groups
    • Fuchs, L.1
  • 5
    • 78149352965 scopus 로고    scopus 로고
    • Reflexive group topologies on abelian groups
    • Gabriyelyan S. S.: Reflexive group topologies on abelian groups. J. Group Theory 13, 891-901 (2010).
    • (2010) J. Group Theory , vol.13 , pp. 891-901
    • Gabriyelyan, S.S.1
  • 6
    • 0001535687 scopus 로고
    • Uniform boundedness for groups
    • Glicksberg I.: Uniform boundedness for groups, Can. J. Math. 14, 269-276 (1962).
    • (1962) Can J. Math. , vol.14 , pp. 269-276
    • Glicksberg, I.1
  • 7
    • 0000008090 scopus 로고
    • Abelian groups which satisfy Pontryagin duality need not respect compactness
    • Remus D., Trigos-Arrieta F. J.: Abelian groups which satisfy Pontryagin duality need not respect compactness, Proc. Am. Math. Soc. 117, 1195-1200 (1993).
    • (1993) Proc. Am. Math. Soc. , vol.117 , pp. 1195-1200
    • Remus, D.1    Trigos-Arrieta, F.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.