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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Detalles Bibliográficos
Autores principales: Barmak, Jonathan A., Minian, Elias Gabriel
Publicado: 2007
Materias:
2-dimension
Finite topological spaces
Posets
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01678094_v24_n1_p49_Barmak
http://hdl.handle.net/20.500.12110/paper_01678094_v24_n1_p49_Barmak
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_01678094_v24_n1_p49_Barmak
record_format dspace
spelling paper:paper_01678094_v24_n1_p49_Barmak2023-06-08T15:16:57Z 2-Dimension from the topological viewpoint Barmak, Jonathan A. Minian, Elias Gabriel 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. 2007 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01678094_v24_n1_p49_Barmak 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
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic 2-dimension
Finite topological spaces
Posets
spellingShingle 2-dimension
Finite topological spaces
Posets
Barmak, Jonathan A.
Minian, Elias Gabriel
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.
author Barmak, Jonathan A.
Minian, Elias Gabriel
author_facet Barmak, Jonathan A.
Minian, Elias Gabriel
author_sort Barmak, Jonathan 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
publishDate 2007
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01678094_v24_n1_p49_Barmak
http://hdl.handle.net/20.500.12110/paper_01678094_v24_n1_p49_Barmak
work_keys_str_mv AT barmakjonathana 2dimensionfromthetopologicalviewpoint
AT minianeliasgabriel 2dimensionfromthetopologicalviewpoint
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