A Divide-And-Conquer Method for computing the Betti numbers of Finite Topological Spaces
Algebraic Topology
2018-11-13 v2
Abstract
A divide-and-conquer algorithm for computing the Betti numbers of finite -spaces is presented. It extensively uses the Mayer-Vietoris sequence for open coverings. In the end, the computational costs for a parallelisation of this method are given.
Keywords
Cite
@article{arxiv.1806.01144,
title = {A Divide-And-Conquer Method for computing the Betti numbers of Finite Topological Spaces},
author = {Patrick Erik Bradley},
journal= {arXiv preprint arXiv:1806.01144},
year = {2018}
}
Comments
Theorem 3.1 is probably incorrect