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Title: Pontryagin duality for convergence groups of unimodular continuous functions (English)
Author: Butzmann, Heinz-Peter
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 33
Issue: 2
Year: 1983
Pages: 212-220
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Category: math
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MSC: 22A30
MSC: 22D35
MSC: 54C35
idZBL: Zbl 0528.54005
idMR: MR699022
DOI: 10.21136/CMJ.1983.101873
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Date available: 2008-06-09T14:54:02Z
Last updated: 2020-07-28
Stable URL: http://hdl.handle.net/10338.dmlcz/101873
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Reference: [1] E. Binz: Continuous convergence on $C(X)$.Lecture Notes in Mathematics 469 (1975), Springer Verlag Berlin. Zbl 0306.54003, MR 0461418, 10.1007/BFb0088826
Reference: [2] E. Binz: Charaktergruppen von Gruppen von $S^1$-wertigen stetigen Funktionen, in: Categorical Topology.Lecture Notes in Mathematics 540 (1975), 43 - 92. MR 0440494, 10.1007/BFb0080853
Reference: [3] E. Binz: On an extension of Pontryagins duality theory, in: General topology and its relations to modern analysis and algebra IV, part A: Invited papers.Prague 1976. Lecture Notes in Mathematics 609 (1977), 1 - 20. MR 0476908
Reference: [4] H. P. Butzmann: Dualitäten in $C_c (X)$.Doctoral dissertation Mannheim 1971.
Reference: [5] H. P. Butzmann: Pontrjagin-Dualität für topologische Vektorräume.Arch. Math. 28 (1977), 632-637. Zbl 0356.46006, MR 0625307, 10.1007/BF01223977
Reference: [6] L. Fuchs: Abelian groups.Pergamon Press Oxford, 1960. Zbl 0100.02803, MR 0111783
Reference: [7] B. Müller: Locally precompact convergence vector spaces, in: Proceedings of the special session on convergence structures.Reno 1976, 155-172. MR 0430723
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