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Free abelian topological groups on countable CW-complexes

Published online by Cambridge University Press:  17 April 2009

Eli Katz  and
Sidney A. Morris
Eli Katz
Affiliation:
Department of Mathematics, Cleveland State University, Cleveland OH 44115, United States of America
Sidney A. Morris
Affiliation:
Department of Mathematics, The University of New England, Armidale NSW 2351, Australia
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Let n be a positive integer, Bn 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 Bn, F(Bn), 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(Bn).

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 41 , Issue 3 , June 1990 , pp. 451 - 456
Copyright
Copyright © Australian Mathematical Society 1990

References

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