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...

Descripción completa

Guardado en:
Detalles Bibliográficos
Autores principales: Capitelli, N.A., Minian, E.G.
Formato: JOUR
Materias:
Collapses
Combinatorial manifolds
Pachner moves
Shellability
Simplicial complexes
Acceso en línea: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 todo:paper_01384821_v54_n1_p419_Capitelli
record_format dspace
spelling todo:paper_01384821_v54_n1_p419_Capitelli2023-10-03T14:58:09Z Non-homogeneous combinatorial manifolds Capitelli, N.A. Minian, E.G. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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
Capitelli, N.A.
Minian, E.G.
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.
format JOUR
author Capitelli, N.A.
Minian, E.G.
author_facet Capitelli, N.A.
Minian, E.G.
author_sort Capitelli, N.A.
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
url http://hdl.handle.net/20.500.12110/paper_01384821_v54_n1_p419_Capitelli
work_keys_str_mv AT capitellina nonhomogeneouscombinatorialmanifolds
AT minianeg nonhomogeneouscombinatorialmanifolds
_version_ 1807321474657157120

Ejemplares similares