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COMPARISON OF PERSISTENT SINGULAR AND ČECH HOMOLOGY FOR LOCALLY CONNECTED FILTRATIONS

Proceedings of the American Mathematical Society, ISSN: 1088-6826, Vol: 153, Issue: 1, Page: 421-436
2025
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Article 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.

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