Geodesic
Ramified coverings of small categories
Homology, homotopy, and applications, Tome 16 (2014) no. 2, pp. 159-169.

Voir la notice de l'article provenant de la source International Press of Boston

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 $\widetilde{E}$ for a ramified covering $\widetilde{P}\colon \widetilde{E}\to B$ of finite categories, and the nerve of a $d$-fold ramified covering of small categories is also a simplicial $d$-fold ramified covering.
DOI : 10.4310/HHA.2014.v16.n2.a8
Classification : 18G30, 55R05, 55U10
Keywords: ramified covering of small categories, zeta function of a finite category, Euler characteristic of categories 
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     author = {Kazunori Noguchi},
     title = {Ramified coverings of small categories},
     journal = {Homology, homotopy, and applications},
     pages = {159--169},
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     year = {2014},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4310/HHA.2014.v16.n2.a8/}
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Kazunori Noguchi. Ramified coverings of small categories. Homology, homotopy, and applications, Tome 16 (2014) no. 2, pp. 159-169. doi : 10.4310/HHA.2014.v16.n2.a8. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2014.v16.n2.a8/

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