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DC Field | Value | Language |
---|---|---|
dc.contributor.author | Biasi, C. | - |
dc.contributor.author | Libardi, AKM | - |
dc.date.accessioned | 2014-05-20T15:25:46Z | - |
dc.date.accessioned | 2016-10-25T18:00:19Z | - |
dc.date.available | 2014-05-20T15:25:46Z | - |
dc.date.available | 2016-10-25T18:00:19Z | - |
dc.date.issued | 2004-06-01 | - |
dc.identifier | http://dx.doi.org/10.1017/S0013091503000166 | - |
dc.identifier.citation | Proceedings of the Edinburgh Mathematical Society. New York: Cambridge Univ Press, v. 47, p. 289-296, 2004. | - |
dc.identifier.issn | 0013-0915 | - |
dc.identifier.uri | http://hdl.handle.net/11449/36114 | - |
dc.identifier.uri | http://acervodigital.unesp.br/handle/11449/36114 | - |
dc.description.abstract | In this work we present a generalization of an exact sequence of normal bordism groups given in a paper by H. A. Salomonsen (Math. Scand. 32 (1973), 87-111). This is applied to prove that if h : M-n --> Xn+k, 5 less than or equal to n < 2k, is a continuous map between two manifolds and g : M-n --> BO is the classifying map of the stable normal bundle of h such that (h, g)(*) : H-i (M, Z(2)) --> H-i (X x BO, Z(2)) is an isomorphism for i < n - k and an epimorphism for i = n - k, then h bordant to an immersion implies that h is homotopic to an immersion. The second remark complements the result of C. Biasi, D. L. Goncalves and A. K. M. Libardi (Topology Applic. 116 (2001), 293-303) and it concerns conditions for which there exist immersions in the metastable dimension range. Some applications and examples for the main results are also given. | en |
dc.format.extent | 289-296 | - |
dc.language.iso | eng | - |
dc.publisher | Cambridge University Press | - |
dc.source | Web of Science | - |
dc.subject | bordism | pt |
dc.subject | normal bordism | pt |
dc.subject | immersion of manifold | pt |
dc.subject | localization | pt |
dc.title | Remarks on immersions in the metastable dimension range | en |
dc.type | outro | - |
dc.contributor.institution | Universidade de São Paulo (USP) | - |
dc.contributor.institution | Universidade Estadual Paulista (UNESP) | - |
dc.description.affiliation | USP, ICMC, Dept Matemat, BR-13560970 Sao Carlos, SP, Brazil | - |
dc.description.affiliation | UNESP, IGCE, Dept Math, BR-13506700 Rio Claro, SP, Brazil | - |
dc.description.affiliationUnesp | UNESP, IGCE, Dept Math, BR-13506700 Rio Claro, SP, Brazil | - |
dc.identifier.doi | 10.1017/S0013091503000166 | - |
dc.identifier.wos | WOS:000222857300003 | - |
dc.rights.accessRights | Acesso restrito | - |
dc.identifier.file | WOS000222857300003.pdf | - |
dc.relation.ispartof | Proceedings of the Edinburgh Mathematical Society | - |
Appears in Collections: | Artigos, TCCs, Teses e Dissertações da Unesp |
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