10 citations · 14 across the 4 of their papers we have counts for
4 papers
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 Euler characteristics of categories and the barycentric subdivision
Kazunori Noguchi
We prove the -Euler characteristic has the invariance under the barycentric subdivision only for finite acyclic categories. And we extend the definition of -Euler charact…