Retracts and extensors of compact transformation groups

In this paper, we study G -spaces, i.e., topological spaces with actions of a compact group G , from the point of view of the theory of retracts. We recall definitions and properties of absolute retracts, absolute neighborhood retracts, absolute extensors, and absolute neighborhood extensors with re...

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Bibliographic Details
Published in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2012-11, Vol.186 (6), p.866-881
Main Author: Dzadzamia, M.
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
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Summary:In this paper, we study G -spaces, i.e., topological spaces with actions of a compact group G , from the point of view of the theory of retracts. We recall definitions and properties of absolute retracts, absolute neighborhood retracts, absolute extensors, and absolute neighborhood extensors with respect to the equivariant weakly hereditary class of G -spaces. Also, we give basic notions of the theory of topological transformation groups.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-012-1041-7