Geodesic
Čech complexes for covers of small categories
Homology, homotopy, and applications, Tome 19 (2017) no. 1, pp. 281-291.

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

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.
DOI : 10.4310/HHA.2017.v19.n1.a14
Classification : 46M20, 55P10
Keywords: nerve theorem, small category, inclusion-exclusion principle, Euler characteristic 
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     author = {Kohei Tanaka},
     title = {\v{C}ech complexes for covers of small categories},
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     pages = {281--291},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4310/HHA.2017.v19.n1.a14/}
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Kohei Tanaka. Čech complexes for covers of small categories. Homology, homotopy, and applications, Tome 19 (2017) no. 1, pp. 281-291. doi : 10.4310/HHA.2017.v19.n1.a14. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2017.v19.n1.a14/

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