Non-homogeneous combinatorial manifolds

In this paper we extend the classical theory of combinatorial manifolds to the non-homogeneous setting. NH-manifolds are polyhedra which are locally like Euclidean spaces of varying dimensions. We show that many of the properties of classical manifolds remain valid in this wider context. NH-manifold...

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Detalles Bibliográficos
Autor principal: Minian, Elias Gabriel
Publicado: 2013
Materias:
Collapses
Combinatorial manifolds
Pachner moves
Shellability
Simplicial complexes
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01384821_v54_n1_p419_Capitelli
http://hdl.handle.net/20.500.12110/paper_01384821_v54_n1_p419_Capitelli
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_01384821_v54_n1_p419_Capitelli
record_format dspace
spelling paper:paper_01384821_v54_n1_p419_Capitelli2023-06-08T15:10:57Z Non-homogeneous combinatorial manifolds Minian, Elias Gabriel Collapses Combinatorial manifolds Pachner moves Shellability Simplicial complexes In this paper we extend the classical theory of combinatorial manifolds to the non-homogeneous setting. NH-manifolds are polyhedra which are locally like Euclidean spaces of varying dimensions. We show that many of the properties of classical manifolds remain valid in this wider context. NH-manifolds appear naturally when studying Pachner moves on (classical) manifolds. We introduce the notion of NH-factorization and prove that PL-homeomorphic manifolds are related by a finite sequence of NH-factorizations involving NH-manifolds. © 2012 The Managing Editors. Fil:Minian, E.G. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2013 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01384821_v54_n1_p419_Capitelli http://hdl.handle.net/20.500.12110/paper_01384821_v54_n1_p419_Capitelli
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Collapses
Combinatorial manifolds
Pachner moves
Shellability
Simplicial complexes
spellingShingle Collapses
Combinatorial manifolds
Pachner moves
Shellability
Simplicial complexes
Minian, Elias Gabriel
Non-homogeneous combinatorial manifolds
topic_facet Collapses
Combinatorial manifolds
Pachner moves
Shellability
Simplicial complexes
description In this paper we extend the classical theory of combinatorial manifolds to the non-homogeneous setting. NH-manifolds are polyhedra which are locally like Euclidean spaces of varying dimensions. We show that many of the properties of classical manifolds remain valid in this wider context. NH-manifolds appear naturally when studying Pachner moves on (classical) manifolds. We introduce the notion of NH-factorization and prove that PL-homeomorphic manifolds are related by a finite sequence of NH-factorizations involving NH-manifolds. © 2012 The Managing Editors.
author Minian, Elias Gabriel
author_facet Minian, Elias Gabriel
author_sort Minian, Elias Gabriel
title Non-homogeneous combinatorial manifolds
title_short Non-homogeneous combinatorial manifolds
title_full Non-homogeneous combinatorial manifolds
title_fullStr Non-homogeneous combinatorial manifolds
title_full_unstemmed Non-homogeneous combinatorial manifolds
title_sort non-homogeneous combinatorial manifolds
publishDate 2013
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01384821_v54_n1_p419_Capitelli
http://hdl.handle.net/20.500.12110/paper_01384821_v54_n1_p419_Capitelli
work_keys_str_mv AT minianeliasgabriel nonhomogeneouscombinatorialmanifolds
_version_ 1768545778125504512

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