The Euler characteristic of infinite acyclic categories with filtrations

Abstract

The aim of this paper is twofold. One is to give a definition of the Euler characteristic of infinite acyclic categories with filtrations and the other is to prove the invariance of the Euler characteristic under the subdivision of finite categories.

16 pages, 0 figure

References in corpus (2)

• The Euler characteristic of a category as the sum of a divergent series
• Regularization of certain divergent series of polynomials

Cited by in corpus (1)

• Classification des catégories associées à la matrice des coefficients 2 d'ordre donnée