Geodesic
The Euler characteristic of a category as the sum of a divergent series
Homology, homotopy, and applications, Tome 10 (2008) no. 1, pp. 41-51.

Voir la notice de l'article provenant de la source International Press of Boston

The Euler characteristic of a cell complex is often thought of as the alternating sum of the number of cells of each dimension. When the complex is infinite, the sum diverges. Nevertheless, it can sometimes be evaluated; in particular, this is possible when the complex is the nerve of a finite category. This provides an alternative definition of the Euler characteristic of a category, which is in many cases equivalent to the original one.
DOI : 10.4310/HHA.2008.v10.n1.a3
Classification : 05C50, 18Fxx, 40A05, 57N65
Keywords: Euler characteristic, finite category, divergent series, divergent su, Möbius inversion 
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Clemens Berger; Tom Leinster. The Euler characteristic of a category as the sum of a divergent series. Homology, homotopy, and applications, Tome 10 (2008) no. 1, pp. 41-51. doi : 10.4310/HHA.2008.v10.n1.a3. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2008.v10.n1.a3/

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