Comparison of persistent singular and Čech homology for locally connected filtrations

2022/07/02 by Maximilian Schmahl, Schmahl, Maximilian · 1 citation
Computer Science · Mathematics · #Topological and Geometric Data Analysis #Homotopy and Cohomology in Algebraic Topology #Advanced Topology and Set Theory

paper · pdf · doi:10.48550/arxiv.2207.00848

Abstract

We show that the interleaving distance between the persistent singular homology and the persistent Čech homology of a homologically locally connected filtration consisting of paracompact Hausdorff spaces is 0.

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