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arXiv · 1806.01144

A Divide-And-Conquer Method for computing the Betti numbers of Finite Topological Spaces

Patrick Erik Bradley
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Abstract

A divide-and-conquer algorithm for computing the Betti numbers of finite $T_0$-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.

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Patrick Erik Bradley. 2018-06-01. A Divide-And-Conquer Method for computing the Betti numbers of Finite Topological Spaces. https://arxiv.org/abs/1806.01144

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