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2-Dimension from the Topological Viewpoint

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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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Authors and Affiliations

  1. Departamento de Matemática, FCEyN, Universidad de Buenos Aires, Buenos Aires, Argentina

    Jonathan Ariel Barmak & Elias Gabriel Minian

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  1. Jonathan Ariel Barmak
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  2. Elias Gabriel Minian
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Correspondence to Jonathan Ariel Barmak.

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Barmak, J.A., Minian, E.G. 2-Dimension from the Topological Viewpoint. Order 24, 49–58 (2007). https://doi.org/10.1007/s11083-007-9057-1

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  • DOI: https://doi.org/10.1007/s11083-007-9057-1

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