On the Betti number of the union of two generic map images

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dc.contributor.authorBiasi, Carlos
dc.contributor.authorLibardi, Alice K. M. [UNESP]
dc.contributor.authorSaeki, Osamu
dc.contributor.institutionUniversidade de São Paulo (USP)
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionHiroshima University
dc.date.accessioned2014-02-26T17:03:17Z
dc.date.accessioned2014-05-20T14:17:04Z
dc.date.available2014-02-26T17:03:17Z
dc.date.available2014-05-20T14:17:04Z
dc.date.issued1999-06-23
dc.description.abstractLet f: M --> N and g: K --> N be generic differentiable maps of compact manifolds without boundary into a manifold such that their intersection satisfies a certain transversality condition. We show, under a certain cohomological condition, that if the images f(M) and g(K) intersect, then the (upsilon + 1)th Betti number of their union is strictly greater than the sum of their (upsilon + 1)th Betti numbers, where upsilon = dim M + dim K - dim N. This result is applied to the study of coincidence sets and fixed point sets. (C) 1999 Elsevier B.V. B.V. All rights reserved.en
dc.description.affiliationUSP, ICMSC, Dept Matemat, BR-13560970 Sao Carlos, SP, Brazil
dc.description.affiliationUNESP, IGCE, Dept Matemat, BR-13500230 Rio Claro, SP, Brazil
dc.description.affiliationHiroshima Univ, Fac Sci, Dept Math, Higashihiroshima 7398526, Japan
dc.description.affiliationUnespUNESP, IGCE, Dept Matemat, BR-13500230 Rio Claro, SP, Brazil
dc.format.extent31-46
dc.identifierhttp://dx.doi.org/10.1016/S0166-8641(97)00273-3
dc.identifier.citationTopology and Its Applications. Amsterdam: Elsevier B.V., v. 95, n. 1, p. 31-46, 1999.
dc.identifier.doi10.1016/S0166-8641(97)00273-3
dc.identifier.fileWOS000080833500002.pdf
dc.identifier.issn0166-8641
dc.identifier.scopus2-s2.0-15944390989
dc.identifier.urihttp://hdl.handle.net/11449/25118
dc.identifier.wosWOS:000080833500002
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.subjectgeneric mappt
dc.subjectBetti numberpt
dc.subjectintersection mappt
dc.subjectcoincidence setpt
dc.subjectfixed point setpt
dc.titleOn the Betti number of the union of two generic map imagesen
dc.typeArtigo
dcterms.licensehttp://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy
dcterms.rightsHolderElsevier B.V.
unesp.author.lattes1510825392356387[2]
unesp.author.orcid0000-0002-7183-2635[2]
unesp.campusUniversidade Estadual Paulista (Unesp), Instituto de Geociências e Ciências Exatas, Rio Claropt

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Artigos - Matemática - IGCE