Results 101 to 110 of about 619 (166)

Sign-Balanced Posets

open access: yesJournal of Combinatorial Theory, Series A, 2001
Let \(P\) be a poset with \(n\) elements and fixed labeling of the elements of \(P\) (i.e. a bijection \(f\) from \(P\) to \(\{1,2,\dots,n\}\)). One may consider the linear extensions (of the partial ordering) of \(P\) as permutations of the labeling.
openaire   +1 more source

Thin Posets, CW Posets, and Categorification

open access: yes, 2019
Motivated by generalizing Khovanov's categorification of the Jones polynomial, we study functors $F$ from thin posets $P$ to abelian categories $\mathcal{A}$. Such functors $F$ produce cohomology theories $H^*(P,\mathcal{A},F)$. We find that CW posets, that is, face posets of regular CW complexes, satisfy conditions making them particularly suitable ...
openaire   +2 more sources

The structure of κ-maximal cofinitary groups. [PDF]

open access: yesArch Math Log, 2023
Fischer V, Switzer CB.
europepmc   +1 more source

Poset Game Periodicity

open access: yes, 2003
Poset games are two-player impartial combinatorial games, with normal play convention. Starting with any poset, the players take turns picking an element of the poset, and removing that and all larger elements from the poset. Examples of poset games include Chomp, Nim, Hackendot, Subset-Takeaway, and others. We prove a general theorem about poset games,
openaire   +2 more sources

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