Diameter and displacement of sphere involutions

Autores
Bettiol, Renato; Lauret, Emilio Agustin
Año de publicación
2023
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We show that spheres in all dimensions ≥ 3 can be deformed to have diameter larger than the distance between any pair of antipodal points. This answers a question of Yurii Nikonorov.
Fil: Bettiol, Renato. City University of New York; Estados Unidos
Fil: Lauret, Emilio Agustin. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Matemática Bahía Blanca. Universidad Nacional del Sur. Departamento de Matemática. Instituto de Matemática Bahía Blanca; Argentina. Universidad Nacional del Sur. Departamento de Matemática; Argentina
Materia
DIAMETER
HOMOGENEOUS SPHERES
LENGTH SPACE
CHEEGER DEFORMATION
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/224120
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Diameter and displacement of sphere involutionsBettiol, RenatoLauret, Emilio AgustinDIAMETERHOMOGENEOUS SPHERESLENGTH SPACECHEEGER DEFORMATIONhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We show that spheres in all dimensions ≥ 3 can be deformed to have diameter larger than the distance between any pair of antipodal points. This answers a question of Yurii Nikonorov.Fil: Bettiol, Renato. City University of New York; Estados UnidosFil: Lauret, Emilio Agustin. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Matemática Bahía Blanca. Universidad Nacional del Sur. Departamento de Matemática. Instituto de Matemática Bahía Blanca; Argentina. Universidad Nacional del Sur. Departamento de Matemática; ArgentinaSociedade Brasileira de Matemática2023-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/224120Bettiol, Renato; Lauret, Emilio Agustin; Diameter and displacement of sphere involutions; Sociedade Brasileira de Matemática; Matemática Contemporânea; 57; 1; 12-2023; 23-312317-6636CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://mc.sbm.org.br/wp-content/uploads/sites/9/sites/9/2023/12/57-Article-2.pdfinfo:eu-repo/semantics/altIdentifier/doi/10.21711/231766362023/rmc573info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T12:07:10Zoai:ri.conicet.gov.ar:11336/224120instacron: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:34982025-10-22 12:07:11.063CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Diameter and displacement of sphere involutions
title Diameter and displacement of sphere involutions
spellingShingle Diameter and displacement of sphere involutions
Bettiol, Renato
DIAMETER
HOMOGENEOUS SPHERES
LENGTH SPACE
CHEEGER DEFORMATION
title_short Diameter and displacement of sphere involutions
title_full Diameter and displacement of sphere involutions
title_fullStr Diameter and displacement of sphere involutions
title_full_unstemmed Diameter and displacement of sphere involutions
title_sort Diameter and displacement of sphere involutions
dc.creator.none.fl_str_mv Bettiol, Renato
Lauret, Emilio Agustin
author Bettiol, Renato
author_facet Bettiol, Renato
Lauret, Emilio Agustin
author_role author
author2 Lauret, Emilio Agustin
author2_role author
dc.subject.none.fl_str_mv DIAMETER
HOMOGENEOUS SPHERES
LENGTH SPACE
CHEEGER DEFORMATION
topic DIAMETER
HOMOGENEOUS SPHERES
LENGTH SPACE
CHEEGER DEFORMATION
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 show that spheres in all dimensions ≥ 3 can be deformed to have diameter larger than the distance between any pair of antipodal points. This answers a question of Yurii Nikonorov.
Fil: Bettiol, Renato. City University of New York; Estados Unidos
Fil: Lauret, Emilio Agustin. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Matemática Bahía Blanca. Universidad Nacional del Sur. Departamento de Matemática. Instituto de Matemática Bahía Blanca; Argentina. Universidad Nacional del Sur. Departamento de Matemática; Argentina
description We show that spheres in all dimensions ≥ 3 can be deformed to have diameter larger than the distance between any pair of antipodal points. This answers a question of Yurii Nikonorov.
publishDate 2023
dc.date.none.fl_str_mv 2023-12
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/11336/224120
Bettiol, Renato; Lauret, Emilio Agustin; Diameter and displacement of sphere involutions; Sociedade Brasileira de Matemática; Matemática Contemporânea; 57; 1; 12-2023; 23-31
2317-6636
CONICET Digital
CONICET
url http://hdl.handle.net/11336/224120
identifier_str_mv Bettiol, Renato; Lauret, Emilio Agustin; Diameter and displacement of sphere involutions; Sociedade Brasileira de Matemática; Matemática Contemporânea; 57; 1; 12-2023; 23-31
2317-6636
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://mc.sbm.org.br/wp-content/uploads/sites/9/sites/9/2023/12/57-Article-2.pdf
info:eu-repo/semantics/altIdentifier/doi/10.21711/231766362023/rmc573
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
application/pdf
dc.publisher.none.fl_str_mv Sociedade Brasileira de Matemática
publisher.none.fl_str_mv Sociedade Brasileira de Matemática
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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score 12.982451

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