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arXiv · 2207.00848

Comparison of persistent singular and \v{C}ech homology for locally connected filtrations

Maximilian Schmahl
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Abstract

We show that the interleaving distance between the persistent singular homology and the persistent \v{C}ech homology of a homologically locally connected filtration consisting of paracompact Hausdorff spaces is 0.

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Maximilian Schmahl. 2022-07-02. Comparison of persistent singular and \v{C}ech homology for locally connected filtrations. https://arxiv.org/abs/2207.00848

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