Representing 3-manifolds by Dehn spheres

Let M be a closed orientable 3-manifold. A Dehn sphere S is a 2-sphere immersed in M with only double curve and triple point singularities. S fills M if S defines a cell decomposition of M. It is proven that every closed orientable 3-manifold has a filling Dehn sphere. Examples are given, and Johans...

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Detalles Bibliográficos
Autor: Montesinos Amilibia, José María
Tipo de recurso: capítulo de libro
Fecha de publicación:2000
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/60752
Acceso en línea:https://hdl.handle.net/20.500.14352/60752
Access Level:acceso abierto
Palabra clave:515.164
3-manifold
Dehn sphere
Johansson diagram
Heegaard diagram
Geometría diferencial
Topología
1204.04 Geometría Diferencial
1210 Topología
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repository_id_str
spelling Representing 3-manifolds by Dehn spheresMontesinos Amilibia, José María515.1643-manifoldDehn sphereJohansson diagramHeegaard diagramGeometría diferencialTopología1204.04 Geometría Diferencial1210 TopologíaLet M be a closed orientable 3-manifold. A Dehn sphere S is a 2-sphere immersed in M with only double curve and triple point singularities. S fills M if S defines a cell decomposition of M. It is proven that every closed orientable 3-manifold has a filling Dehn sphere. Examples are given, and Johansson diagrams are proposed as a method for representing all closed orientable 3-manifolds.Editorial ComplutenseLafuente López, JavierPozo Coronado, Luis MiguelUniversidad Complutense de Madrid20002000-01-0120002000-01-01book parthttp://purl.org/coar/resource_type/c_3248info:eu-repo/semantics/bookPartapplication/pdfhttps://hdl.handle.net/20.500.14352/60752reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/607522026-06-02T12:44:21Z
dc.title.none.fl_str_mv Representing 3-manifolds by Dehn spheres
title Representing 3-manifolds by Dehn spheres
spellingShingle Representing 3-manifolds by Dehn spheres
Montesinos Amilibia, José María
515.164
3-manifold
Dehn sphere
Johansson diagram
Heegaard diagram
Geometría diferencial
Topología
1204.04 Geometría Diferencial
1210 Topología
title_short Representing 3-manifolds by Dehn spheres
title_full Representing 3-manifolds by Dehn spheres
title_fullStr Representing 3-manifolds by Dehn spheres
title_full_unstemmed Representing 3-manifolds by Dehn spheres
title_sort Representing 3-manifolds by Dehn spheres
dc.creator.none.fl_str_mv Montesinos Amilibia, José María
author Montesinos Amilibia, José María
author_facet Montesinos Amilibia, José María
author_role author
dc.contributor.none.fl_str_mv Lafuente López, Javier
Pozo Coronado, Luis Miguel
Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 515.164
3-manifold
Dehn sphere
Johansson diagram
Heegaard diagram
Geometría diferencial
Topología
1204.04 Geometría Diferencial
1210 Topología
topic 515.164
3-manifold
Dehn sphere
Johansson diagram
Heegaard diagram
Geometría diferencial
Topología
1204.04 Geometría Diferencial
1210 Topología
description Let M be a closed orientable 3-manifold. A Dehn sphere S is a 2-sphere immersed in M with only double curve and triple point singularities. S fills M if S defines a cell decomposition of M. It is proven that every closed orientable 3-manifold has a filling Dehn sphere. Examples are given, and Johansson diagrams are proposed as a method for representing all closed orientable 3-manifolds.
publishDate 2000
dc.date.none.fl_str_mv 2000
2000-01-01
2000
2000-01-01
dc.type.none.fl_str_mv book part
http://purl.org/coar/resource_type/c_3248
dc.type.openaire.fl_str_mv info:eu-repo/semantics/bookPart
format bookPart
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.14352/60752
url https://hdl.handle.net/20.500.14352/60752
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Editorial Complutense
publisher.none.fl_str_mv Editorial Complutense
dc.source.none.fl_str_mv reponame:Docta Complutense
instname:Universidad Complutense de Madrid (UCM)
instname_str Universidad Complutense de Madrid (UCM)
reponame_str Docta Complutense
collection Docta Complutense
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300719

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