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arXiv:1206.2781 [math.AT]AbstractReferencesReviewsResources

Representing Bredon cohomology with local coefficients

Samik Basu, Debasis Sen

Published 2012-06-13, updated 2015-01-05Version 3

For a discrete group G, we represent the Bredon cohomology with local coefficients as the homotopy classes of maps in the category of equivaraint crossed complexes. Subsequently, we construct a naive parametrized G-spectrum, such that the cohomology theory defined by it reduces to the Bredon cohomology with local coefficients when restricted to suspension spectra.

Comments: 29 pages, Accepted version JPAA
Categories: math.AT
Subjects: 55N25, 55N91, 55P42, 55P91, 55Q91, 55T99
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