Immersions in the metastable dimension range via the normal bordism approach

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dc.contributor.authorBiasi, C.
dc.contributor.authorGoncalves, D. L.
dc.contributor.authorLibardi, AKM
dc.contributor.institutionUniversidade de São Paulo (USP)
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2014-02-26T17:12:18Z
dc.date.accessioned2014-05-20T14:17:04Z
dc.date.available2014-02-26T17:12:18Z
dc.date.available2014-05-20T14:17:04Z
dc.date.issued2001-12-14
dc.description.abstractLet 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.en
dc.description.affiliationUSP, ICMC, Dept Matemat, BR-13560970 Sao Carlos, SP, Brazil
dc.description.affiliationUSP, IME, BR-05315970 São Paulo, Brazil
dc.description.affiliationUNESP, IGCE, Dept Matemat, BR-13506700 Rio Claro, SP, Brazil
dc.description.affiliationUnespUNESP, IGCE, Dept Matemat, BR-13506700 Rio Claro, SP, Brazil
dc.format.extent293-303
dc.identifierhttp://dx.doi.org/10.1016/S0166-8641(00)90093-2
dc.identifier.citationTopology and Its Applications. Amsterdam: Elsevier B.V., v. 116, n. 3, p. 293-303, 2001.
dc.identifier.doi10.1016/S0166-8641(00)90093-2
dc.identifier.fileWOS000171656000003.pdf
dc.identifier.issn0166-8641
dc.identifier.lattes1510825392356387
dc.identifier.urihttp://hdl.handle.net/11449/25117
dc.identifier.wosWOS:000171656000003
dc.language.isoeng
dc.publisherElsevier B.V.
dc.relation.ispartofTopology and its Applications
dc.relation.ispartofjcr0.549
dc.relation.ispartofsjr0,609
dc.rights.accessRightsAcesso aberto
dc.sourceWeb of Science
dc.subjectnormal bordismpt
dc.subjectimmersion of manifoldpt
dc.subjectlocalizationpt
dc.subjectgroup actionpt
dc.subjectnilpotent spacept
dc.titleImmersions in the metastable dimension range via the normal bordism approachen
dc.typeArtigo
dcterms.licensehttp://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy
dcterms.rightsHolderElsevier B.V.
unesp.author.lattes1510825392356387[3]
unesp.author.orcid0000-0002-7183-2635[3]
unesp.campusUniversidade Estadual Paulista (Unesp), Instituto de Geociências e Ciências Exatas, Rio Claropt

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