NDLI: Free abelian topological groups on countable CW-complexes

Content Provider	Scilit
Author	Katz, Eli Morris, Sidney A.
Copyright Year	1990
Description	Let n be a positive integer, $B^{n}$ the closed unit ball in Euclidean n-space, and X any countable CW-complex of dimension at most n. It is shown that the free Abelian topological group on $B^{n}$, $F(B^{n}$), has F(X) as a closed subgroup. It is also shown that for every differentiable manifold Y of dimension at most n, F(Y) is a closed subgroup of $F(B^{n}$).
Related Links	https://www.cambridge.org/core/services/aop-cambridge-core/content/view/8F782BBE567D59ABC447C0665BCD75DF/S0004972700018335a.pdf/div-class-title-free-abelian-topological-groups-on-countable-cw-complexes-div.pdf
Ending Page	456
Page Count	6
Starting Page	451
ISSN	00049727
e-ISSN	17551633
DOI	10.1017/s0004972700018335
Journal	Bulletin of the Australian Mathematical Society
Issue Number	3
Volume Number	41
Language	English
Publisher	Cambridge University Press (CUP)
Publisher Date	1990-06-01
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 on countable CW-complexes