English

Chain Posets

Combinatorics 2018-02-19 v1

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.

Keywords

Cite

@article{arxiv.1802.05813,
  title  = {Chain Posets},
  author = {Ian T. Johnson},
  journal= {arXiv preprint arXiv:1802.05813},
  year   = {2018}
}

Comments

7 pages