Combinatorics arising from lax colimits of posets
Combinatorics
2020-10-06 v1 Category Theory
Rings and Algebras
Abstract
In this paper we study maximal chains in certain lattices constructed from powers of chains by iterated lax colimits in the -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.
Keywords
Cite
@article{arxiv.2010.01623,
title = {Combinatorics arising from lax colimits of posets},
author = {Zurab Janelidze and Helmut Prodinger and Francois van Niekerk},
journal= {arXiv preprint arXiv:2010.01623},
year = {2020}
}
Comments
29 pages, 9 figures. Submitted for publication