Ramified coverings of small categories

Kazunori Noguchi

doi:10.4310/HHA.2014.v16.n2.a8

Ramified coverings of small categories

Kazunori Noguchi^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

We introduce ramified coverings of small categories, and we prove three properties of the notion: the Riemann-Hurwitz formula holds for a ramified covering of finite categories, the zeta function of B divides that of E for a ramified covering P: E → B of finite categories, and the nerve of a d-fold ramified covering of small categories is also a simplicial d-fold ramified covering.

Original language	English
Pages (from-to)	159-169
Number of pages	11
Journal	Homology, Homotopy and Applications
Volume	16
Issue number	2
DOIs	https://doi.org/10.4310/HHA.2014.v16.n2.a8
Publication status	Published - 2014
Externally published	Yes

Keywords

Euler characteristic of categories
Ramified covering of small categories
Zeta function of a finite category

ASJC Scopus subject areas

Mathematics (miscellaneous)

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AB - We introduce ramified coverings of small categories, and we prove three properties of the notion: the Riemann-Hurwitz formula holds for a ramified covering of finite categories, the zeta function of B divides that of E for a ramified covering P: E → B of finite categories, and the nerve of a d-fold ramified covering of small categories is also a simplicial d-fold ramified covering.

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KW - Zeta function of a finite category

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Ramified coverings of small categories

Abstract

Keywords

ASJC Scopus subject areas

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