Representing Bredon cohomology with local coefficients

2012/06/13 by Samik Basu, Basu, Samik, Debasis Sen +1
Computer Science · Mathematics · #55N91 #55P42 #55Q91 #55T99 #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Primary: 55N25 #Secondary: 55P91 #Topological and Geometric Data Analysis

paper · pdf · doi:10.48550/arxiv.1206.2781

openalex publication_date 2012/06/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

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