Directed Homology and Persistence Modules
Algebraic Topology
2024-08-07 v3
Abstract
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.
Keywords
Cite
@article{arxiv.2309.07095,
title = {Directed Homology and Persistence Modules},
author = {Eric Goubault},
journal= {arXiv preprint arXiv:2309.07095},
year = {2024}
}