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Volumn 202, Issue 1-3, 2005, Pages 11-21

The Pontryagin duality of sequential limits of topological Abelian groups

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EID: 23944482081     PISSN: 00224049     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jpaa.2005.02.006     Document Type: Article
Times cited : (9)

References (13)
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    • (1999) Dissertationes Math. , vol.384
    • Aussenhofer, L.1
  • 2
    • 23944501263 scopus 로고    scopus 로고
    • A survey on nuclear groups
    • Selected Lectures of the Workshop, Madrid, Spain, September 1999, Heldermann Verlag, Lemgo
    • L. Aussenhofer, A survey on nuclear groups, Selected Lectures of the Workshop, Madrid, Spain, September 1999, Heldermann Verlag, Lemgo; Res. Expo. Math. 24 (2001) 1-30.
    • (2001) Res. Expo. Math. , vol.24 , pp. 1-30
    • Aussenhofer, L.1
  • 3
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    • Additive Subgroups of Topological Vector Spaces
    • Springer, Berlin
    • W. Banaszczyk, Additive Subgroups of Topological Vector Spaces, Lecture Notes in Mathematics, vol. 1466, Springer, Berlin, 1991.
    • (1991) Lecture Notes in Mathematics , vol.1466
    • Banaszczyk, W.1
  • 4
    • 84975960701 scopus 로고
    • Countable products and sums of lines and circles
    • R. Brown P.J. Higgins S.A. Morris Countable products and sums of lines and circles their closed subgroups, quotients and duality properties Math. Proc. Camb. Philos. Soc. 78 1975 19-32
    • (1975) Math. Proc. Camb. Philos. Soc. , vol.78 , pp. 19-32
    • Brown, R.1    Higgins, P.J.2    Morris, S.A.3
  • 5
    • 0039679783 scopus 로고    scopus 로고
    • Some properties of locally quasi-convex groups
    • M. Brugera Some properties of locally quasi-convex groups Topol. Appl. 77 1997 87-94
    • (1997) Topol. Appl. , vol.77 , pp. 87-94
    • Brugera, M.1
  • 6
    • 0032221011 scopus 로고    scopus 로고
    • Pontryagin duality for metrizable groups
    • M.J. Chasco Pontryagin duality for metrizable groups Arch. Math. 70 1998 22-28
    • (1998) Arch. Math. , vol.70 , pp. 22-28
    • Chasco, M.J.1
  • 8
    • 23944496556 scopus 로고    scopus 로고
    • Open questions on topological groups
    • Selected Lectures of the Workshop, September 1999, Madrid, Spain, Heldermann Verlag, Lemgo
    • W.W. Comfort, S. Hernández, D. Remus, F.J. Trigos-Arrieta, Open questions on topological groups, Selected Lectures of the Workshop, September 1999, Madrid, Spain, Heldermann Verlag, Lemgo; Res. Expo. Math. 24 (2001) 57-76.
    • (2001) Res. Expo. Math. , vol.24 , pp. 57-76
    • Comfort, W.W.1    Hernández, S.2    Remus, D.3    Trigos-Arrieta, F.J.4
  • 9
    • 0002197970 scopus 로고
    • ω-spaces
    • Proceedings of the Topology Conference, LA State University
    • ω-spaces, Topology Proceedings, vol. 2, Nos.1, 2, Proceedings of the Topology Conference, LA State University, 1977, 1978, pp. 111-124.
    • (1977) Topology Proceedings , vol.2 , Issue.1-2 , pp. 111-124
    • Franklin, S.P.1    Smith, B.V.2
  • 11
    • 0000142226 scopus 로고
    • Extensions of the Pontryagin duality I
    • 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
  • 12
    • 0010959620 scopus 로고
    • Extensions of the Pontryagin duality II
    • S. Kaplan Extensions of the Pontryagin duality II direct and inverse limits Duke Math. J. 17 1950 419-435
    • (1950) Duke Math. J. , vol.17 , pp. 419-435
    • Kaplan, S.1
  • 13
    • 0000067766 scopus 로고
    • k-Groups and duality
    • N. Noble k-Groups and duality Trans. Am. Math. Soc. 151 1970 551-561
    • (1970) Trans. Am. Math. Soc. , vol.151 , pp. 551-561
    • Noble, N.1


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