Geodesic
The Euler characteristic of a category
Documenta mathematica, Tome 13 (2008), pp. 21-49
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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 is proved for the cardinality of a colimit of sets, generalizing the classical inclusion-exclusion formula. Both rest on a generalization of Rota's Möbius inversion from posets to categories.
DOI : 10.4171/dm/240
Classification : 05C50, 18F99, 55U99, 57N65
Mots-clés : Euler characteristic, finite category, inclusion-exclusion, Möbius inversion, cardinality of colimit 
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     author = {Tom Leinster},
     title = {The {Euler} characteristic of a category},
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Tom Leinster. The Euler characteristic of a category. Documenta mathematica, Tome 13 (2008), pp. 21-49. doi: 10.4171/dm/240

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