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Chain Posets

Published 16 Feb 2018 in math.CO | (1802.05813v1)

Abstract: A chain poset, by definition, consists of chains of ordered elements in a poset. We study the chain posets associated to two posets: the Boolean algebra and the poset of isotropic flags. We prove that, in both cases, the chain posets satisfy the strong Sperner property and are rank-log concave.

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