arXiv:2309.07095 Abstract | arXiv Analytics

arXiv:2309.07095 [math.AT]Abstract References Reviews Resources

Directed Homology and Persistence Modules

Published 2023-09-13Version 1

In this note, we give a self-contained account on a construction for a directed homology theory based on modules over algebras, linking it to both persistence homology and natural homology. We study its first properties, among which some exact sequences.

Categories: math.AT

Keywords: persistence modules, exact sequences, directed homology theory, persistence homology, natural homology

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