NDLI: Free Abelian topological groups and the Pontryagin-Van Kampen duality

Content Provider	Scilit
Author	Pestov, Vladimir
Copyright Year	1995
Description	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 $π^{1}$(X). If X is a strongly zero-dimensional space which is either metrisable or compact, then A(X) is reflexive.
Related Links	https://www.cambridge.org/core/services/aop-cambridge-core/content/view/13AAAD15D69960DC48155FB9DAF34D4C/S0004972700014726a.pdf/div-class-title-free-abelian-topological-groups-and-the-pontryagin-van-kampen-duality-div.pdf
Ending Page	311
Page Count	15
Starting Page	297
ISSN	00049727
e-ISSN	17551633
DOI	10.1017/s0004972700014726
Journal	Bulletin of the Australian Mathematical Society
Issue Number	2
Volume Number	52
Language	English
Publisher	Cambridge University Press (CUP)
Publisher Date	1995-10-01
Access Restriction	Open
Subject Keyword	Bulletin of the Australian Mathematical Society Topological Group
Content Type	Text
Resource Type	Article
Subject	Mathematics

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Free Abelian topological groups and the Pontryagin-Van Kampen duality