Jonathan Ariel Barmak, Elias Gabriel Minian
Published 2007-02-07Version 1
In this paper we study the 2-dimension of a finite poset from the topological point of view. We use homotopy theory of finite topological spaces and the concept of a beat point to improve the classical results on 2-dimension, giving a more complete answer to the problem of all possible 2-dimensions of an n-point poset.
About finite posets R and S with \# H(P,R) <= \# H(P,S) for every finite poset P
Blocking Ideals: a method for sieving linear extensions of a finite poset
Calculation Rules and Cancellation Rules for Strong Hom-Schemes
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