Local Coefficients Revisited
Slawomir Kwasik, Fang Sun
TL;DR
This paper introduces new simplicial approximation techniques to prove fundamental results in (co)-homology with local coefficients, simplifying existing proofs and offering fresh insights.
Contribution
It presents two simple tricks for simplicial approximation that streamline proofs in (co)-homology with local coefficients.
Findings
Simplified proofs of basic (co)-homology results
Introduction of two simplicial approximation tricks
Enhanced understanding of local coefficient systems
Abstract
Two simple "simplicial approximation" tricks are invoked to prove basic results involving (co)-homology with local coefficients.
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Taxonomy
TopicsTopological and Geometric Data Analysis · Homotopy and Cohomology in Algebraic Topology · Advanced Combinatorial Mathematics