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arXiv · 1104.3630

The Euler characteristics of categories and the barycentric subdivision

Kazunori Noguchi
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Abstract

We prove the $L^2$-Euler characteristic has the invariance under the barycentric subdivision only for finite acyclic categories. And we extend the definition of $L^2$-Euler characteristic and prove the extended $L^2$-Euler characteristic has the invariance under the barycentric subdivision for more wide class of finite categories.

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Kazunori Noguchi. 2011-04-19. The Euler characteristics of categories and the barycentric subdivision. https://arxiv.org/abs/1104.3630

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