The Euler characteristic of infinite acyclic categories with filtrations

2010/04/15 by Kazunori Noguchi, Noguchi, Kazunori · 2 citations
Mathematics · #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Homotopy and Cohomology in Algebraic Topology #math.AT #math.CT #msc:18G30

paper · pdf · doi:10.48550/arxiv.1004.2547

16 pages, 0 figure

arxiv created 2010/04/15 · arxiv updated 2011/04/19

Abstract

The aim of this paper is twofold. One is to give a definition of the Euler characteristic of infinite acyclic categories with filtrations and the other is to prove the invariance of the Euler characteristic under the subdivision of finite categories.

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