Comparison of persistent singular and \v{C}ech homology for locally connected filtrations
Algebraic Topology
2022-07-05 v1
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.
Keywords
Cite
@article{arxiv.2207.00848,
title = {Comparison of persistent singular and \v{C}ech homology for locally connected filtrations},
author = {Maximilian Schmahl},
journal= {arXiv preprint arXiv:2207.00848},
year = {2022}
}
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15 pages