A theorem on cardinal numbers associated with inductive limits of locally compact Abelian groups
1965 ◽
Vol 61
(1)
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pp. 69-74
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Keyword(s):
Our motivation for this paper is to be found in (2) and (3). In (2) Varopoulos considers inductive limits of topological groups, in particular what he calls ‘ℒ∞’. (He calls a topology an ℒ∞-topology when it is the inductive limit of a decreasing sequence of locally compact Hausdorff topologies.) In (2) he proves that much of the classical theory of locally compact Abelian groups also goes through for Abelian ℒ∞-groups, in particular Pontrjagin duality.
1968 ◽
Vol 64
(4)
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pp. 985-987
1977 ◽
Vol 17
(3)
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pp. 401-417
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1972 ◽
Vol s2-5
(4)
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pp. 629-637
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1965 ◽
Vol 61
(1)
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pp. 75-79
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1972 ◽
Vol 7
(3)
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pp. 321-335
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1975 ◽
Vol 51
(2)
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pp. 503
1972 ◽
Vol 34
(1)
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pp. 290-290
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2020 ◽
Vol 18
(04)
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pp. 2050019
1994 ◽
Vol 126
(1)
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pp. 1-6
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