Ramified coverings of small categories
Abstract
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, the zeta function of C divides that of C for a ramified covering PCC of finite categories, and the classifying space of a d-fold ramified covering of small categories is also a d-fold ramified covering in the sense of Dold Dol86.
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