$P$-persistent homology of finite topological spaces
Algebraic Topology
2015-02-18 v1 Computational Geometry
Combinatorics
Category Theory
Abstract
Let be a finite poset. We will show that for any reasonable -persistent object in the category of finite topological spaces, there is a weighted graph, whose clique complex has the same -persistent homology as .
Keywords
Cite
@article{arxiv.1502.04873,
title = {$P$-persistent homology of finite topological spaces},
author = {Francesco Vaccarino and Alice Patania and Giovanni Petri},
journal= {arXiv preprint arXiv:1502.04873},
year = {2015}
}