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 | |
| Publication status | Published - 2011 Jun 10 |
| Externally published | Yes |
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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 journal › Article
}
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 -