Author:
Brun Morten,Salbu Lars M.
Abstract
AbstractWe construct a simplicial complex, the rectangle complex of a relation R, and show that it is homotopy equivalent to the Dowker complex of $$R$$
R
. This results in a short and conceptual proof of functorial versions of Dowker’s Theorem used in topological data analysis.
Publisher
Springer Science and Business Media LLC
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