Proof of semialgebraic covering mapping cylinder conjecture with semialgebraic covering homotopy theorem

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In this paper we prove the semialgebraic, version of Palais' covering homotopy theorem, and use this to prove Bredon's covering mapping cylinder conjecture positively in the semialgebraic category. Bredon's conjecture was originally stated in the topological category, and a topological version of our semialgebraic proof of the conjecture answers the original topological conjecture for topological G-spaces over "simplicial" mapping cylinders. (c) 2006 Elsevier B.V. All rights reserved.
Publisher
ELSEVIER SCIENCE BV
Issue Date
2007-01
Language
English
Article Type
Article
Keywords

SPACES

Citation

TOPOLOGY AND ITS APPLICATIONS, v.154, no.1, pp.69 - 89

ISSN
0166-8641
DOI
10.1016/j.topol.2006.03.017
URI
http://hdl.handle.net/10203/91007
Appears in Collection
MA-Journal Papers(저널논문)
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