Free Abelian topological groups and the Pontryagin-Van Kampen duality
1995 ◽
Vol 52
(2)
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pp. 297-311
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Keyword(s):
We study the class of Tychonoff topological spaces such that the free Abelian topological group A(X) is reflexive (satisfies the Pontryagin-van Kampen duality). Every such X must be totally path-disconnected and (if it is pseudocompact) must have a trivial first cohomotopy group π1(X). If X is a strongly zero-dimensional space which is either metrisable or compact, then A(X) is reflexive.
2008 ◽
Vol 78
(3)
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pp. 487-495
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1993 ◽
Vol 114
(3)
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pp. 439-442
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1986 ◽
Vol 100
(2)
◽
pp. 347-353
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2003 ◽
Vol 68
(2)
◽
pp. 243-265
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2019 ◽
Vol 63
(3)
◽
pp. 610-623
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1990 ◽
Vol 41
(3)
◽
pp. 451-456
◽
2017 ◽
Vol 97
(1)
◽
pp. 110-118
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Keyword(s):