The non-pure version of the simplex and the boundary of the simplex
- Autores
- Capitelli, Nicolás Ariel
- Año de publicación
- 2016
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- We introduce the non-pure versions of simplicial balls and spheres with minimum number of vertices. These are a special type of non-homogeneous balls and spheres (NH-balls and NH-spheres) satisfying a minimality condition on the number of facets. The main result is that minimal NH-balls and NH-spheres are precisely the simplicial complexes whose iterated Alexander duals converge respectively to a simplex or the boundary of a simplex.
Fil: Capitelli, Nicolás Ariel. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina - Materia
-
Simplicial Complex
Combinatorial Manifolds
Alexander Dual - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
- Repositorio
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/18889
Ver los metadatos del registro completo
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spelling |
The non-pure version of the simplex and the boundary of the simplexCapitelli, Nicolás ArielSimplicial ComplexCombinatorial ManifoldsAlexander Dualhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We introduce the non-pure versions of simplicial balls and spheres with minimum number of vertices. These are a special type of non-homogeneous balls and spheres (NH-balls and NH-spheres) satisfying a minimality condition on the number of facets. The main result is that minimal NH-balls and NH-spheres are precisely the simplicial complexes whose iterated Alexander duals converge respectively to a simplex or the boundary of a simplex.Fil: Capitelli, Nicolás Ariel. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; ArgentinaElsevier Science2016-08info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/18889Capitelli, Nicolás Ariel; The non-pure version of the simplex and the boundary of the simplex; Elsevier Science; Computational Geometry-theory And Applications; 57; 8-2016; 19-260925-7721CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.comgeo.2016.05.002info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0925772116300451info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1406.6434info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:20:01Zoai:ri.conicet.gov.ar:11336/18889instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 10:20:02.215CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse |
dc.title.none.fl_str_mv |
The non-pure version of the simplex and the boundary of the simplex |
title |
The non-pure version of the simplex and the boundary of the simplex |
spellingShingle |
The non-pure version of the simplex and the boundary of the simplex Capitelli, Nicolás Ariel Simplicial Complex Combinatorial Manifolds Alexander Dual |
title_short |
The non-pure version of the simplex and the boundary of the simplex |
title_full |
The non-pure version of the simplex and the boundary of the simplex |
title_fullStr |
The non-pure version of the simplex and the boundary of the simplex |
title_full_unstemmed |
The non-pure version of the simplex and the boundary of the simplex |
title_sort |
The non-pure version of the simplex and the boundary of the simplex |
dc.creator.none.fl_str_mv |
Capitelli, Nicolás Ariel |
author |
Capitelli, Nicolás Ariel |
author_facet |
Capitelli, Nicolás Ariel |
author_role |
author |
dc.subject.none.fl_str_mv |
Simplicial Complex Combinatorial Manifolds Alexander Dual |
topic |
Simplicial Complex Combinatorial Manifolds Alexander Dual |
purl_subject.fl_str_mv |
https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
dc.description.none.fl_txt_mv |
We introduce the non-pure versions of simplicial balls and spheres with minimum number of vertices. These are a special type of non-homogeneous balls and spheres (NH-balls and NH-spheres) satisfying a minimality condition on the number of facets. The main result is that minimal NH-balls and NH-spheres are precisely the simplicial complexes whose iterated Alexander duals converge respectively to a simplex or the boundary of a simplex. Fil: Capitelli, Nicolás Ariel. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina |
description |
We introduce the non-pure versions of simplicial balls and spheres with minimum number of vertices. These are a special type of non-homogeneous balls and spheres (NH-balls and NH-spheres) satisfying a minimality condition on the number of facets. The main result is that minimal NH-balls and NH-spheres are precisely the simplicial complexes whose iterated Alexander duals converge respectively to a simplex or the boundary of a simplex. |
publishDate |
2016 |
dc.date.none.fl_str_mv |
2016-08 |
dc.type.none.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion http://purl.org/coar/resource_type/c_6501 info:ar-repo/semantics/articulo |
format |
article |
status_str |
publishedVersion |
dc.identifier.none.fl_str_mv |
http://hdl.handle.net/11336/18889 Capitelli, Nicolás Ariel; The non-pure version of the simplex and the boundary of the simplex; Elsevier Science; Computational Geometry-theory And Applications; 57; 8-2016; 19-26 0925-7721 CONICET Digital CONICET |
url |
http://hdl.handle.net/11336/18889 |
identifier_str_mv |
Capitelli, Nicolás Ariel; The non-pure version of the simplex and the boundary of the simplex; Elsevier Science; Computational Geometry-theory And Applications; 57; 8-2016; 19-26 0925-7721 CONICET Digital CONICET |
dc.language.none.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.comgeo.2016.05.002 info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0925772116300451 info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1406.6434 |
dc.rights.none.fl_str_mv |
info:eu-repo/semantics/openAccess https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ |
eu_rights_str_mv |
openAccess |
rights_invalid_str_mv |
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ |
dc.format.none.fl_str_mv |
application/pdf application/pdf |
dc.publisher.none.fl_str_mv |
Elsevier Science |
publisher.none.fl_str_mv |
Elsevier Science |
dc.source.none.fl_str_mv |
reponame:CONICET Digital (CONICET) instname:Consejo Nacional de Investigaciones Científicas y Técnicas |
reponame_str |
CONICET Digital (CONICET) |
collection |
CONICET Digital (CONICET) |
instname_str |
Consejo Nacional de Investigaciones Científicas y Técnicas |
repository.name.fl_str_mv |
CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas |
repository.mail.fl_str_mv |
dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar |
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1844614177270792192 |
score |
13.070432 |