2-Dimension from the topological viewpoint
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...
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todo:paper_01678094_v24_n1_p49_Barmak2023-10-03T15:05:23Z 2-Dimension from the topological viewpoint Barmak, J.A. Minian, E.G. 2-dimension Finite topological spaces Posets 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. © 2007 Springer Science + Business Media B.V. Fil:Barmak, J.A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Minian, E.G. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_01678094_v24_n1_p49_Barmak |
institution |
Universidad de Buenos Aires |
institution_str |
I-28 |
repository_str |
R-134 |
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
topic |
2-dimension Finite topological spaces Posets |
spellingShingle |
2-dimension Finite topological spaces Posets Barmak, J.A. Minian, E.G. 2-Dimension from the topological viewpoint |
topic_facet |
2-dimension Finite topological spaces Posets |
description |
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. © 2007 Springer Science + Business Media B.V. |
format |
JOUR |
author |
Barmak, J.A. Minian, E.G. |
author_facet |
Barmak, J.A. Minian, E.G. |
author_sort |
Barmak, J.A. |
title |
2-Dimension from the topological viewpoint |
title_short |
2-Dimension from the topological viewpoint |
title_full |
2-Dimension from the topological viewpoint |
title_fullStr |
2-Dimension from the topological viewpoint |
title_full_unstemmed |
2-Dimension from the topological viewpoint |
title_sort |
2-dimension from the topological viewpoint |
url |
http://hdl.handle.net/20.500.12110/paper_01678094_v24_n1_p49_Barmak |
work_keys_str_mv |
AT barmakja 2dimensionfromthetopologicalviewpoint AT minianeg 2dimensionfromthetopologicalviewpoint |
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1782027085190004736 |