@inproceedings{67d203bb4faa483a8846351f2111f6c0,
title = "Natural homology",
abstract = "We propose a notion of homology for directed algebraic topology, based on so-called natural systems of abelian groups, and which we call natural homology. As we show, natural homology has many desirable properties: it is invariant under isomorphisms of directed spaces, it is invariant under refinement (subdivision), and it is computable on cubical complexes.",
keywords = "Directed algebraic topology, Geometric semantics, Homology, Natural system, Path space, Persistent homology",
author = "J{\'e}r{\'e}my Dubut and {\'E}ric Goubault and Jean Goubault-Larrecq",
note = "Publisher Copyright: {\textcopyright} Springer-Verlag Berlin Heidelberg 2015.; 42nd International Colloquium on Automata, Languages and Programming, ICALP 2015 ; Conference date: 06-07-2015 Through 10-07-2015",
year = "2015",
month = jan,
day = "1",
doi = "10.1007/978-3-662-47666-6\_14",
language = "English",
isbn = "9783662476659",
series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",
publisher = "Springer Verlag",
pages = "171--183",
editor = "Naoki Kobayashi and Bettina Speckmann and Kazuo Iwama and Halldorsson, \{Magnus M.\}",
booktitle = "Automata, Languages, and Programming - 42nd International Colloquium, ICALP 2015, Proceedings",
}