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Combinatorics arising from lax colimits of posets

2020/10/04 by Zurab Janelidze, Helmut Prodinger, Janelidze, Zurab +3
Computer Science · Mathematics · #05A19 #06A07 #18N10 #Advanced Algebra and Logic #Advanced Combinatorial Mathematics #Category Theory (math.CT) #Combinatorics (math.CO) #FOS: Mathematics #Mathematical Dynamics and Fractals #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.2010.01623

openalex publication_date 2020/10/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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