Spaces of maps into classifying spaces for equivariant crossed complexes (1997)
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| Venue: | Indag. Math. (N.S |
| Citations: | 10 - 7 self |
BibTeX
@ARTICLE{Brown97spacesof,
author = {R. Brown and M. Golasiński and T. Porter and A. Tonks},
title = {Spaces of maps into classifying spaces for equivariant crossed complexes},
journal = {Indag. Math. (N.S},
year = {1997},
pages = {157--172}
}
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Abstract
Abstract. The results of a previous paper on the equivariant homotopy theory of crossed complexes are generalised from the case of a discrete group to general topological groups. The principal new ingredient necessary for this is an analysis of homotopy coherence theory for crossed complexes, using detailed results on the appropriate Eilenberg–Zilber theory, and of its relation to simplicial homotopy coherence. Again, our results give information not just on the homotopy classification of certain equivariant maps, but also on the weak equivariant homotopy type of the corresponding equivariant function spaces. Mathematics Subject Classifications (2001): 55P91, 55U10, 18G55. Key words: equivariant homotopy theory, classifying space, function space, crossed complex.
