The Rectangle Complex of a Relation
Algebraic Topology
2022-09-29 v2
Abstract
We construct a simplicial complex, the rectangle complex of a relation R, and show that it is homotopy equivalent to the Dowker complex of R. This results in a short and conceptual proof of functorial versions of Dowker's Theorem used in topological data analysis.
Keywords
Cite
@article{arxiv.2207.02018,
title = {The Rectangle Complex of a Relation},
author = {Morten Brun and Lars M. Salbu},
journal= {arXiv preprint arXiv:2207.02018},
year = {2022}
}
Comments
8 pages, 1 figure