Combinatorics Arising from Lax Colimits of Posets

Zurab Janelidze,Helmut Prodinger,Francois van Niekerk

Order（2023）

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摘要

In this paper we study maximal chains in certain lattices constructed from powers of chains by iterated lax colimits in the 2-category of posets. Such a study is motivated by the fact that in lower dimensions, we get some familiar combinatorial objects such as Dyck paths and Kreweras walks.

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关键词

Bijection, Catalan number, Chain, Distributive lattice, Dyck path, Fixed point, Hermite history, Hypercube, Involution, Kreweras walk, Lattice, Lax colimit, Maximal chain number, Noetherian form, Partition, Poset, Walk, Word, 05A19, 06A07, 18N10, 05A18, 05A15, 05C30

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