Local Coefficients Revisited

2018/01/03 by Kwasik, Slawomir, Sun, Fang
#Algebraic Topology (math.AT) #FOS: Mathematics

paper · doi:10.48550/arxiv.1801.01148

Abstract

Two simple "simplicial approximation" tricks are invoked to prove basic results involving (co)-homology with local coefficients.

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• Local cohomology -- an invitation
• The Local Index Theorem
• Equivariant Spectral Sequences for Local Coefficients
• On a theorem of Eilenberg in simplicial Bredon-Illman cohomology with local coefficients
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