2-Dimension from the Topological Viewpoint |
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Authors: | Jonathan Ariel Barmak Elias Gabriel Minian |
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Institution: | (1) Departamento de Matemática, FCEyN, Universidad de Buenos Aires, Buenos Aires, Argentina |
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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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Keywords: | Posets Finite topological spaces 2-Dimension |
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