2015/08/15 by Kohei Tanaka, Tanaka, Kohei
Mathematics · #Algebraic Topology (math.AT) #Category Theory (math.CT) #FOS: Mathematics #math.AT #math.CT
paper · pdf · doi:10.48550/arxiv.1508.03688
12 pages
arxiv created 2015/08/15 · arxiv updated 2015/08/18
We present a combinatorial analogue of the nerve theorem for covers of small categories, using the Grothendieck construction. We apply our result to prove the inclusion-exclusion principle for the Euler characteristic of a finite category.