메뉴 건너뛰기




Volumn 13, Issue 1, 2007, Pages 15-23

Continuous convergence and duality of limits of topological Abelian groups

Author keywords

Convergence group; Direct limit; Duality; Inverse limit; Nuclear topological group

Indexed keywords


EID: 58549111402     PISSN: 00378615     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (3)

References (15)
  • 1
    • 23944482081 scopus 로고    scopus 로고
    • The Pontryagin duality of sequential limits of topological Abelian groups
    • S. ARDANZA-TREVIJANO AND M. J. CHASCO, The Pontryagin duality of sequential limits of topological Abelian groups, J. Pure Appl. Algebra 202 (2005), 11-21.
    • (2005) J. Pure Appl. Algebra , vol.202 , pp. 11-21
    • ARDANZA-TREVIJANO, S.1    CHASCO, M.J.2
  • 2
    • 0003208315 scopus 로고
    • Additive Subgroups of Topological Vector Spaces
    • Springer-Verlag, Berlin
    • W. BANASZCZYK, Additive Subgroups of Topological Vector Spaces, Lecture Notes in Math. 1466, Springer-Verlag, Berlin. 1991.
    • (1991) Lecture Notes in Math , vol.1466
    • BANASZCZYK, W.1
  • 5
    • 0032221011 scopus 로고    scopus 로고
    • Pontryagin duality for metrizable groups
    • M. J. CHASCO, Pontryagin duality for metrizable groups, Arch. Math. (Basel) 70 (1) (1998), 22-28.
    • (1998) Arch. Math. (Basel) , vol.70 , Issue.1 , pp. 22-28
    • CHASCO, M.J.1
  • 6
    • 0010104931 scopus 로고
    • Binz-Butzmann duality versus Pontryagin Duality
    • M. J. CHASCO, E. MARTÍN-PEINADOR, Binz-Butzmann duality versus Pontryagin Duality. Arch. Math. (Basel) 63 (3) (1994), 264-270.
    • (1994) Arch. Math. (Basel) , vol.63 , Issue.3 , pp. 264-270
    • CHASCO, M.J.1    MARTÍN-PEINADOR, E.2
  • 9
    • 0000142226 scopus 로고
    • Extensions of the Pontryagin duality I: Infinite products
    • S. KAPLAN, Extensions of the Pontryagin duality I: Infinite products, Duke Math. J. 15 (1948), 649-658.
    • (1948) Duke Math. J , vol.15 , pp. 649-658
    • KAPLAN, S.1
  • 10
    • 0010959620 scopus 로고
    • Extensions of the Pontryagin duality II: Direct and inverse sequences
    • S. KAPLAN, Extensions of the Pontryagin duality II: Direct and inverse sequences, Duke Math. J. 17 (1950), 419-435.
    • (1950) Duke Math. J , vol.17 , pp. 419-435
    • KAPLAN, S.1
  • 11
    • 0038495059 scopus 로고
    • Zur Dualitatstheorie projektiver Limites abelscher Gruppen
    • H. LEPTIN, Zur Dualitatstheorie projektiver Limites abelscher Gruppen, Abh. Math. Sem. Univ. Hamburg 19 (1955), 264-268.
    • (1955) Abh. Math. Sem. Univ. Hamburg , vol.19 , pp. 264-268
    • LEPTIN, H.1
  • 13
    • 0038012871 scopus 로고    scopus 로고
    • Coproducts of Abelian topological groups
    • P. NICKOLAS, Coproducts of Abelian topological groups, Topology Appl. 120(3) (2002), 403-426.
    • (2002) Topology Appl , vol.120 , Issue.3 , pp. 403-426
    • NICKOLAS, P.1
  • 14
    • 84973958483 scopus 로고
    • Free Abelian topological groups and the Pontryagin-van Kampen duality
    • V. PESTOV, Free Abelian topological groups and the Pontryagin-van Kampen duality, Bull. Austral Math. Soc. 52(2) (1995), 297-311.
    • (1995) Bull. Austral Math. Soc , vol.52 , Issue.2 , pp. 297-311
    • PESTOV, V.1
  • 15
    • 0000903126 scopus 로고
    • The Pontrjagin duality theorem in linear spaces
    • M. F. SMITH, The Pontrjagin duality theorem in linear spaces, Ann. of Math. (2) 56 (1952), 248-253.
    • (1952) Ann. of Math. (2) , vol.56 , pp. 248-253
    • SMITH, M.F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.