Immersions in the metastable dimension range via the normal bordism approach

Detalhes bibliográficos
Autor(a) principal: Biasi, C.
Data de Publicação: 2001
Outros Autores: Goncalves, D. L., Libardi, AKM
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1016/S0166-8641(00)90093-2
http://hdl.handle.net/11449/25117
Resumo: Let f : M --> N be a continuous map between two closed n-manifolds such that f(*): H-*(M, Z(2)) --> H-* (N, Z(2)) is an isomorphism. Suppose that M immerses in Rn+k for 5 less than or equal to n < 2k. Then N also immerses in Rn+k. We use techniques of normal bordism theory to prove this result and we show that for a large family of spaces we can replace the homolog condition by the corresponding one in homotopy. (C) 2001 Elsevier B.V. B.V. All rights reserved.
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spelling Immersions in the metastable dimension range via the normal bordism approachnormal bordismimmersion of manifoldlocalizationgroup actionnilpotent spaceLet f : M --> N be a continuous map between two closed n-manifolds such that f(*): H-*(M, Z(2)) --> H-* (N, Z(2)) is an isomorphism. Suppose that M immerses in Rn+k for 5 less than or equal to n < 2k. Then N also immerses in Rn+k. We use techniques of normal bordism theory to prove this result and we show that for a large family of spaces we can replace the homolog condition by the corresponding one in homotopy. (C) 2001 Elsevier B.V. B.V. All rights reserved.USP, ICMC, Dept Matemat, BR-13560970 Sao Carlos, SP, BrazilUSP, IME, BR-05315970 São Paulo, BrazilUNESP, IGCE, Dept Matemat, BR-13506700 Rio Claro, SP, BrazilUNESP, IGCE, Dept Matemat, BR-13506700 Rio Claro, SP, BrazilElsevier B.V.Universidade de São Paulo (USP)Universidade Estadual Paulista (Unesp)Biasi, C.Goncalves, D. L.Libardi, AKM2014-02-26T17:12:18Z2014-05-20T14:17:04Z2014-02-26T17:12:18Z2014-05-20T14:17:04Z2001-12-14info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article293-303application/pdfhttp://dx.doi.org/10.1016/S0166-8641(00)90093-2Topology and Its Applications. Amsterdam: Elsevier B.V., v. 116, n. 3, p. 293-303, 2001.0166-8641http://hdl.handle.net/11449/2511710.1016/S0166-8641(00)90093-2WOS:000171656000003WOS000171656000003.pdf1510825392356387Web of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengTopology and its Applications0.5490,609info:eu-repo/semantics/openAccess2023-11-20T06:11:52Zoai:repositorio.unesp.br:11449/25117Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462023-11-20T06:11:52Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Immersions in the metastable dimension range via the normal bordism approach
title Immersions in the metastable dimension range via the normal bordism approach
spellingShingle Immersions in the metastable dimension range via the normal bordism approach
Biasi, C.
normal bordism
immersion of manifold
localization
group action
nilpotent space
title_short Immersions in the metastable dimension range via the normal bordism approach
title_full Immersions in the metastable dimension range via the normal bordism approach
title_fullStr Immersions in the metastable dimension range via the normal bordism approach
title_full_unstemmed Immersions in the metastable dimension range via the normal bordism approach
title_sort Immersions in the metastable dimension range via the normal bordism approach
author Biasi, C.
author_facet Biasi, C.
Goncalves, D. L.
Libardi, AKM
author_role author
author2 Goncalves, D. L.
Libardi, AKM
author2_role author
author
dc.contributor.none.fl_str_mv Universidade de São Paulo (USP)
Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Biasi, C.
Goncalves, D. L.
Libardi, AKM
dc.subject.por.fl_str_mv normal bordism
immersion of manifold
localization
group action
nilpotent space
topic normal bordism
immersion of manifold
localization
group action
nilpotent space
description Let f : M --> N be a continuous map between two closed n-manifolds such that f(*): H-*(M, Z(2)) --> H-* (N, Z(2)) is an isomorphism. Suppose that M immerses in Rn+k for 5 less than or equal to n < 2k. Then N also immerses in Rn+k. We use techniques of normal bordism theory to prove this result and we show that for a large family of spaces we can replace the homolog condition by the corresponding one in homotopy. (C) 2001 Elsevier B.V. B.V. All rights reserved.
publishDate 2001
dc.date.none.fl_str_mv 2001-12-14
2014-02-26T17:12:18Z
2014-05-20T14:17:04Z
2014-02-26T17:12:18Z
2014-05-20T14:17:04Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1016/S0166-8641(00)90093-2
Topology and Its Applications. Amsterdam: Elsevier B.V., v. 116, n. 3, p. 293-303, 2001.
0166-8641
http://hdl.handle.net/11449/25117
10.1016/S0166-8641(00)90093-2
WOS:000171656000003
WOS000171656000003.pdf
1510825392356387
url http://dx.doi.org/10.1016/S0166-8641(00)90093-2
http://hdl.handle.net/11449/25117
identifier_str_mv Topology and Its Applications. Amsterdam: Elsevier B.V., v. 116, n. 3, p. 293-303, 2001.
0166-8641
10.1016/S0166-8641(00)90093-2
WOS:000171656000003
WOS000171656000003.pdf
1510825392356387
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Topology and its Applications
0.549
0,609
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 293-303
application/pdf
dc.publisher.none.fl_str_mv Elsevier B.V.
publisher.none.fl_str_mv Elsevier B.V.
dc.source.none.fl_str_mv Web of Science
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
_version_ 1803046572647251968

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