The Euler characteristic of acyclic categories

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)85-99
Number of pages15
JournalKyushu Journal of Mathematics
Volume65
Issue number1
DOIs
Publication statusPublished - 2011 Jun 10
Externally publishedYes

Fingerprint

Euler Characteristic
Subdivision
Filtration
Invariance

Keywords

  • Acyclic categories
  • Non-degenerate nerves
  • The subdivision of small categories

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

The Euler characteristic of acyclic categories. / Noguchi, Kazunori.

In: Kyushu Journal of Mathematics, Vol. 65, No. 1, 10.06.2011, p. 85-99.

Research output: Contribution to journalArticle

@article{bab7d181a4a64610b6164ce037b34d5c,
title = "The Euler characteristic of acyclic categories",
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.",
keywords = "Acyclic categories, Non-degenerate nerves, The subdivision of small categories",
author = "Kazunori Noguchi",
year = "2011",
month = "6",
day = "10",
doi = "10.2206/kyushujm.65.85",
language = "English",
volume = "65",
pages = "85--99",
journal = "Kyushu Journal of Mathematics",
issn = "1340-6116",
publisher = "Kyushu University, Faculty of Science",
number = "1",

}

TY - JOUR

T1 - The Euler characteristic of acyclic categories

AU - Noguchi, Kazunori

PY - 2011/6/10

Y1 - 2011/6/10

N2 - 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.

AB - 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.

KW - Acyclic categories

KW - Non-degenerate nerves

KW - The subdivision of small categories

UR - http://www.scopus.com/inward/record.url?scp=79958058434&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=79958058434&partnerID=8YFLogxK

U2 - 10.2206/kyushujm.65.85

DO - 10.2206/kyushujm.65.85

M3 - Article

VL - 65

SP - 85

EP - 99

JO - Kyushu Journal of Mathematics

JF - Kyushu Journal of Mathematics

SN - 1340-6116

IS - 1

ER -