Kunneth Theorems for Vietoris-Rips Homology
Algebraic Topology
2022-09-28 v2 Computational Geometry
Combinatorics
Abstract
We prove a Kunneth theorem for the Vietoris-Rips homology and cohomology of a semi-uniform space. We then interpret this result for graphs, where we show that the Kunneth theorem holds for graphs with respect to the strong graph product. We finish by computing the Vietoris-Rips cohomology of the torus endowed with diferent semi-uniform structures.
Keywords
Cite
@article{arxiv.2009.05833,
title = {Kunneth Theorems for Vietoris-Rips Homology},
author = {Antonio Rieser and Alejandra Trujillo},
journal= {arXiv preprint arXiv:2009.05833},
year = {2022}
}
Comments
12 pages, incorporated referee comments