Topological Group Cohomology with Loop Contractible Coefficients

Details Topological Group Cohomology with Loop Contractible Coefficients Topological Group Cohomology with Loop Contractible Coefficients

2011-10-13

arxiv.org/abs/1110.2977v2

Mathematics

Algebraic Topology

Latex, 12 pages, minor changes w.r.t. v1 (final version). To appear in Topology Appl

Scientific paper

We show that for topological groups and loop contractible coefficients the cohomology groups of continuous group cochains and of group cochains that are continuous on some identity neighbourhood are isomorphic. Moreover, we show a similar statement for compactly generated groups and Lie groups holds and apply our results to different concepts of group cohomology for finite-dimensional Lie groups.

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