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arXiv · 2207.02018

The Rectangle Complex of a Relation

Morten Brun·Lars M. Salbu
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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.

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Morten Brun, Lars M. Salbu. 2022-07-05. The Rectangle Complex of a Relation. https://arxiv.org/abs/2207.02018

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