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Editors contains: "Rhoades, Brendon"

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  1. ; (, Algebraic Combinatorics)
    Munemasa, Akihiro; Murai, Satoshi; Rhoades, Brendon; Speyer, David; Maldeghem, Hendrik Van (Ed.)
    We study the behavior of h -vectors associated to matroid complexes under weak maps, or inclusions of matroid polytopes. Specifically, we show that the h -vector of the order complex of the lattice of flats of a matroid is component-wise non-increasing under a weak map. This result extends to the flag h -vector. We note that the analogous result also holds for independence complexes and rank-preserving weak maps. 
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    Free, publicly-accessible full text available April 24, 2026