Remarks on the normal bordism forgetful homomorphism
Contribuinte(s) |
Universidade Estadual Paulista (UNESP) |
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Data(s) |
27/05/2014
27/05/2014
01/09/2009
|
Resumo |
Assume 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. |
Formato |
281-288 |
Identificador |
http://www.zentralblatt-math.org/portal/en/zmath/search/?q=an:05644749&type=pdf&format=complete Far East Journal of Mathematical Sciences, v. 34, n. 3, p. 281-288, 2009. 0972-0871 http://hdl.handle.net/11449/71143 2-s2.0-70449848349 |
Idioma(s) |
eng |
Relação |
Far East Journal of Mathematical Sciences |
Direitos |
closedAccess |
Palavras-Chave | #Normal bordism #Stable homotopy group |
Tipo |
info:eu-repo/semantics/article |