The Euler characteristic of acyclic categories

Kazunori Noguchi

doi:10.2206/kyushujm.65.85

The Euler characteristic of acyclic categories

Kazunori Noguchi

Global Education Center

Research output: Contribution to journal › Article

9 Citations (Scopus)

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.

Original language	English
Pages (from-to)	85-99
Number of pages	15
Journal	Kyushu Journal of Mathematics
Volume	65
Issue number	1
DOIs	https://doi.org/10.2206/kyushujm.65.85
Publication status	Published - 2011 Jun 10

Keywords

Acyclic categories
Non-degenerate nerves
The subdivision of small categories

ASJC Scopus subject areas

Mathematics(all)

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10.2206/kyushujm.65.85

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Noguchi, K. (2011). The Euler characteristic of acyclic categories. Kyushu Journal of Mathematics, 65(1), 85-99. https://doi.org/10.2206/kyushujm.65.85

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