Skip to main content
Conference Proceedings

Natural homology

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (2015) 9135 171-183
DOI: 10.1007/978-3-662-47666-6_14
11Citations
Citations of this article
20Readers
Mendeley users who have this article in their library.
Get full text

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.

Author supplied keywords

Cite

CITATION STYLE

APA

Dubut, J., Goubault, É., & Goubault-Larrecq, J. (2015). Natural homology. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 9135, pp. 171–183). Springer Verlag. https://doi.org/10.1007/978-3-662-47666-6_14

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free