10 citations · 22 across the 9 of their papers we have counts for
8 papers · 1 filter
The Euler characteristic of an enriched category
Kazunori Noguchi, Kohei Tanaka
We define Euler characteristic of a category enriched by a monoidal model category. If a monoidal model category V is equipped with Euler characteristic that is compatible with wea…
Ramified coverings of small categories
Kazunori Noguchi
We introduce a ramified covering of small categories, and we show three properties of the notion: the Riemann-Hurwitz formula holds for a ramified covering of finite categories, th…
Coverings of small categories and nerves
Kazunori Noguchi
We prove a certain proposition which states a relationship between coverings of small categories and nerves. As its application, we prove that for a covering $\map{P}{E}{B}$ of fin…
The zeta function of a finite category and the series Euler characteristic
Kazunori Noguchi
We prove that a certain conjecture holds true and the conjecture states a relationship between the zeta function of a finite category and the Euler characteristic of a finite categ…
The zeta function of a finite category which has Möbius inversion
Kazunori Noguchi
We prove certain conjecture holds true for a finite category which has Möbius inversion. The conjecture states a relationship between the zeta function of a finite category and the…
The zeta function of a finite category
Kazunori Noguchi
We define the zeta function of a finite category. And we propose a conjecture which states the relationship between the Euler characteristic of finite categories and the zeta funct…