2-chains: an interesting family of posets

2018/09/20 by Fayers, Matthew
#06A07 #Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.1809.07574

Abstract

We introduce a new family of finite posets which we call 2-chains. These first arose in the study of 0-Hecke algebras, but they admit a variety of different characterisations. We give these characterisations, prove that they are equivalent and derive some numerical results concerning 2-chains.

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• Chain Posets
• The chain algebra of a pure poset
• Are chain-complete posets co-wellpowered?
• Combinatorics arising from lax colimits of posets
• A classification of 2-chains having 1-shell boundaries in rosy theories