The Euler characteristic of a category

Details The Euler characteristic of a category The Euler characteristic of a category

2006-10-08

arxiv.org/abs/math/0610260v1

Documenta Mathematica 13 (2008), 21-49

Mathematics

Category Theory

24 pages

Scientific paper

The Euler characteristic of a finite category is defined and shown to be
compatible with Euler characteristics of other types of object, including
orbifolds. A formula for the cardinality of the colimit of a diagram of sets is
proved, generalizing the classical inclusion-exclusion formula. Both rest on a
generalization of Mobius-Rota inversion from posets to categories.

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