ON INTERSECTION AND TRANSVERSALITY OF MAPS

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dc.contributor.authorLibardi, Alice K. M. [UNESP]
dc.contributor.authorMattos, Denise de
dc.contributor.authorSantos, Edivaldo L. dos
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)
dc.contributor.institutionUniversidade de São Paulo (USP)
dc.contributor.institutionUniversidade Federal de São Carlos (UFSCar)
dc.date.accessioned2023-07-29T12:00:18Z
dc.date.available2023-07-29T12:00:18Z
dc.date.issued2023-03-31
dc.description.abstractGiven a smooth map fV: V-+ K with f*V(nu K) = nu V, a gen-eral question arises: under which conditions there exists a smooth extension f : M-+ N of fV such that f is transverse to K and f-1(K) = V, where M, N are smooth closed manifolds of dimension m and n, V, K are closed submanifolds of M and N, respectively, of same codimension and nu K, nu V are the normal bundles of K in N and V in M, respectively. In this paper, we give conditions to the existence of extensions, by using bordism intersection pro d-uct. Moreover, we present an interesting and non-trivial example illustrating the systematic construction of such extensions, skeletonwise.en
dc.description.affiliationSao Paulo State Univ UNESP, Inst Geosci & Exact Sci, Dept Matemat, Bela Vista, BR-13506700 Rio Claro, SP, Brazil
dc.description.affiliationUniv Sao Paulo USP ICMC, Dept Matemat, Caixa Postal 668, BR-13560970 Sao Carlos, SP, Brazil
dc.description.affiliationUniv Fed Sao Carlos, Dept Matemat, Rodovia Washington Luiz Km 235, Sao Carlos, SP, Brazil
dc.description.affiliationUnespSao Paulo State Univ UNESP, Inst Geosci & Exact Sci, Dept Matemat, Bela Vista, BR-13506700 Rio Claro, SP, Brazil
dc.format.extent12
dc.identifierhttp://dx.doi.org/10.1090/proc/16123
dc.identifier.citationProceedings of the American Mathematical Society. Providence: Amer Mathematical Soc, 12 p., 2023.
dc.identifier.doi10.1090/proc/16123
dc.identifier.issn0002-9939
dc.identifier.urihttp://hdl.handle.net/11449/245620
dc.identifier.wosWOS:000971514100001
dc.language.isoeng
dc.publisherAmer Mathematical Soc
dc.relation.ispartofProceedings Of The American Mathematical Society
dc.sourceWeb of Science
dc.subjectExtension of maps
dc.subjectobstruction
dc.subjecthomotopy
dc.subjecttransversality
dc.titleON INTERSECTION AND TRANSVERSALITY OF MAPSen
dc.typeArtigo
dcterms.rightsHolderAmer Mathematical Soc

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