Say you have two relations $R$ and $S$ on finite sets such that the composition $RS$ is well-defined. Each of these has a corresponding Dowker complex (actually two, but they are homotopy equivalent). Is there any "nice" relationship between the Dowker complexes of $R$ and $S$ and the Dowker complex of $RS$?
2026-03-28 05:45:48.1774676748
Composed relations and simplicial complexes?
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