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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Locally contractible spaces that are absolute neighborhood retracts


Author: William E. Haver
Journal: Proc. Amer. Math. Soc. 40 (1973), 280-284
MSC: Primary 54C55
DOI: https://doi.org/10.1090/S0002-9939-1973-0331311-X
MathSciNet review: 0331311
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Abstract: It is shown that every locally contractible metric space that is the countable union of finite dimensional compacta is an absolute neighborhood retract.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1973-0331311-X
Keywords: ANR, locally contractible, spaces of piecewise linear homeomorphisms
Article copyright: © Copyright 1973 American Mathematical Society