Remarks on the normal bordism forgetful homomorphism

dc.contributorUniversidade de São Paulo (USP)
dc.contributorUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2014-05-27T11:23:58Z
dc.date.available2014-05-27T11:23:58Z
dc.date.created2014-05-27T11:23:58Z
dc.date.issued2009-09-01
dc.identifierFar East Journal of Mathematical Sciences, v. 34, n. 3, p. 281-288, 2009.
dc.identifier0972-0871
dc.identifierhttp://hdl.handle.net/11449/71143
dc.identifier2-s2.0-70449848349
dc.description.abstractAssume that X is an oriented smooth (n+k)-manifold. Then the kernel of the forgetful map F considered in this work consists of immersions f: Mn → X nullbordant as a continuous map. Using an exact sequence of normal bordism groups previously given, we present a homological characterization of the kernel of the forgetful map F. Also, we prove that Ωi(X, εs - ηs and Hi(X,Z) are -isomorphic for i≤3 and C2-isomorphic for i≤2, where C2,3 (resp. C2 is the class of abelian groups whose elements have order 2p. 3q (resp. 2p), and ηs is an orientable stable vector bundle over X. © 2009 Pushpa Publishing House.
dc.languageeng
dc.relationFar East Journal of Mathematical Sciences
dc.relation0,208
dc.rightsAcesso restrito
dc.sourceScopus
dc.subjectNormal bordism
dc.subjectStable homotopy group
dc.titleRemarks on the normal bordism forgetful homomorphism
dc.typeArtículos de revistas


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