Comparison of persistent singular and Čech homology for locally connected filtrations

Comparison of persistent singular and Čech homology for locally connected filtrations

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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Veröffentlicht in:Proceedings of the American Mathematical Society 2024-11
1. Verfasser: Schmahl, Maximilian
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:0002-9939
1088-6826
DOI:10.1090/proc/17008