2-Dimension from the topological viewpoint
Jonathan Ariel Barmak, Elias Gabriel Minian
Abstract
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.
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