Discrete Euler integration over functions on finite categories
Combinatorics
2015-08-18 v1 Category Theory
Abstract
This paper provides the theory of integration with respect to Euler characteristics of finite categories. As an application, we use sensors to enumerate the targets lying on a poset. This is a discrete analogue to Baryshnikov and Ghrist's work on integral theory using topological Euler characteristics.
Cite
@article{arxiv.1508.03691,
title = {Discrete Euler integration over functions on finite categories},
author = {Kohei Tanaka},
journal= {arXiv preprint arXiv:1508.03691},
year = {2015}
}
Comments
14 pages