Presentation complexes with the fixed point property

Autores
Sadofschi Costa, Iván
Año de publicación
2017
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We prove that there exists a compact two-dimensional polyhedron with the fixed point property and even Euler characteristic. This answers a question posed by R H Bing in 1969. We also settle a second question by Bing regarding the homotopy invariance of the fixed point property in low dimensions.
Fil: Sadofschi Costa, Iván. 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
EFFICIENT GROUPS
TWO-DIMENSIONAL COMPLEXES
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:11336/55462
Acceder
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spelling Presentation complexes with the fixed point propertySadofschi Costa, IvánEFFICIENT GROUPSTWO-DIMENSIONAL COMPLEXEShttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We prove that there exists a compact two-dimensional polyhedron with the fixed point property and even Euler characteristic. This answers a question posed by R H Bing in 1969. We also settle a second question by Bing regarding the homotopy invariance of the fixed point property in low dimensions.Fil: Sadofschi Costa, Iván. 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"; ArgentinaMathematical Sciences Publishers2017-03info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/zipapplication/pdfhttp://hdl.handle.net/11336/55462Sadofschi Costa, Iván; Presentation complexes with the fixed point property; Mathematical Sciences Publishers; Geometry and Topology; 21; 2; 3-2017; 1275-12831465-30601364-0380CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://msp.org/gt/2017/21-2/p13.xhtmlinfo:eu-repo/semantics/altIdentifier/doi/10.2140/gt.2017.21.1275info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T12:01:27Zoai:ri.conicet.gov.ar:11336/55462instacron: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 12:01:27.99CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Presentation complexes with the fixed point property
title Presentation complexes with the fixed point property
spellingShingle Presentation complexes with the fixed point property
Sadofschi Costa, Iván
EFFICIENT GROUPS
TWO-DIMENSIONAL COMPLEXES
title_short Presentation complexes with the fixed point property
title_full Presentation complexes with the fixed point property
title_fullStr Presentation complexes with the fixed point property
title_full_unstemmed Presentation complexes with the fixed point property
title_sort Presentation complexes with the fixed point property
dc.creator.none.fl_str_mv Sadofschi Costa, Iván
author Sadofschi Costa, Iván
author_facet Sadofschi Costa, Iván
author_role author
dc.subject.none.fl_str_mv EFFICIENT GROUPS
TWO-DIMENSIONAL COMPLEXES
topic EFFICIENT GROUPS
TWO-DIMENSIONAL COMPLEXES
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 prove that there exists a compact two-dimensional polyhedron with the fixed point property and even Euler characteristic. This answers a question posed by R H Bing in 1969. We also settle a second question by Bing regarding the homotopy invariance of the fixed point property in low dimensions.
Fil: Sadofschi Costa, Iván. 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 prove that there exists a compact two-dimensional polyhedron with the fixed point property and even Euler characteristic. This answers a question posed by R H Bing in 1969. We also settle a second question by Bing regarding the homotopy invariance of the fixed point property in low dimensions.
publishDate 2017
dc.date.none.fl_str_mv 2017-03
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/11336/55462
Sadofschi Costa, Iván; Presentation complexes with the fixed point property; Mathematical Sciences Publishers; Geometry and Topology; 21; 2; 3-2017; 1275-1283
1465-3060
1364-0380
CONICET Digital
CONICET
url http://hdl.handle.net/11336/55462
identifier_str_mv Sadofschi Costa, Iván; Presentation complexes with the fixed point property; Mathematical Sciences Publishers; Geometry and Topology; 21; 2; 3-2017; 1275-1283
1465-3060
1364-0380
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://msp.org/gt/2017/21-2/p13.xhtml
info:eu-repo/semantics/altIdentifier/doi/10.2140/gt.2017.21.1275
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/zip
application/pdf
dc.publisher.none.fl_str_mv Mathematical Sciences Publishers
publisher.none.fl_str_mv Mathematical Sciences Publishers
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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