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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container_title	Proceedings of the American Mathematical Society
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creator	Schmahl, Maximilian
description	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.
doi_str_mv	10.1090/proc/17008
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title	Comparison of persistent singular and Čech homology for locally connected filtrations
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