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2-Dimension from the topological viewpoint

Combinatorics 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.math/0702198,
  title  = {2-Dimension from the topological viewpoint},
  author = {Jonathan Ariel Barmak and Elias Gabriel Minian},
  journal= {arXiv preprint arXiv:math/0702198},
  year   = {2007}
}

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10 pages