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Equivariant cellular homology and its applications

2001/12/18 by Boris Chorny, Chorny, Boris
Computer Science · Mathematics · #55N91 (Primary) 55P91 #57S99 (Secondary) #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Geometric Topology (math.GT) #Homotopy and Cohomology in Algebraic Topology #Topological and Geometric Data Analysis #math.AT #math.GT #msc:55N91 #msc:55P91 #msc:57S99

paper · pdf · doi:10.48550/arxiv.math/0112182

9 pages, AMS-LaTeX2e

arxiv created 2001/12/18 · openalex publication_date 2001/12/18 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this work we develop a cellular equivariant homology functor and apply it to prove an equivariant Euler-Poincare formula and an equivariant Lefschetz theorem.

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