JOURNAL ARTICLE
Ramified coverings of small categories
Year: 2014 Journal: Homology Homotopy and Applications Vol: 16 (2)Pages: 159-169 Publisher: Lehigh University
Abstract
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.
Keywords:
Mathematics Space (punctuation) Riemann zeta function Covering space Pure mathematics Combinatorics Computer science
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Topics
Algebraic structures and combinatorial models
Physical Sciences → Mathematics → Geometry and Topology
Homotopy and Cohomology in Algebraic Topology
Physical Sciences → Mathematics → Mathematical Physics
Algebraic Geometry and Number Theory
Physical Sciences → Mathematics → Geometry and Topology
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