Papers › Cofibration category of digraphs for path homology

Cofibration category of digraphs for path homology

23 Dec 2022arXiv:2212.12568links table onlyarchive 2025-07-28

Daniel Carranza, Brandon Doherty, Chris Kapulkin, Morgan Opie, Maru Sarazola, Liang Ze Wong

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We prove that the category of directed graphs and graph maps carries a cofibration category structure in which the weak equivalences are the graph maps inducing isomorphisms on path homology.

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