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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)



Replacing homotopy actions by topological actions

Author: George Cooke
Journal: Trans. Amer. Math. Soc. 237 (1978), 391-406
MSC: Primary 57E99; Secondary 55D10
MathSciNet review: 0461544
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Abstract: A homotopy action of a group G on a space X is a homomorphism from G to the group of homotopy classes of homotopy equivalences of X. The question studied in this paper is: When is a homotopy action equivalent, in an appropriate sense, to a topological action of G on X?

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Article copyright: © Copyright 1978 American Mathematical Society