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arXiv · 1502.04873

$P$-persistent homology of finite topological spaces

Francesco Vaccarino·Alice Patania·Giovanni Petri
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Abstract

Let $P$ be a finite poset. We will show that for any reasonable $P$-persistent object $X$ in the category of finite topological spaces, there is a $P-$ weighted graph, whose clique complex has the same $P$-persistent homology as $X$.

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Francesco Vaccarino, Alice Patania, Giovanni Petri. 2015-02-17. $P$-persistent homology of finite topological spaces. https://arxiv.org/abs/1502.04873

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