TY - JOUR
T1 - Ramified coverings of small categories
AU - Noguchi, Kazunori
N1 - Publisher Copyright:
© 2014, International Press.
PY - 2014
Y1 - 2014
N2 - 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.
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.
KW - Euler characteristic of categories
KW - Ramified covering of small categories
KW - Zeta function of a finite category
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U2 - 10.4310/HHA.2014.v16.n2.a8
DO - 10.4310/HHA.2014.v16.n2.a8
M3 - Article
AN - SCOPUS:84985930379
VL - 16
SP - 159
EP - 169
JO - Homology, Homotopy and Applications
JF - Homology, Homotopy and Applications
SN - 1532-0073
IS - 2
ER -