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Please use this identifier to cite or link to this item: http://acervodigital.unesp.br/handle/11449/25117
Title: 
Immersions in the metastable dimension range via the normal bordism approach
Author(s): 
Institution: 
  • Universidade de São Paulo (USP)
  • Universidade Estadual Paulista (UNESP)
ISSN: 
0166-8641
Abstract: 
Let f : M --> N be a continuous map between two closed n-manifolds such that f(*): H-*(M, Z(2)) --> H-* (N, Z(2)) is an isomorphism. Suppose that M immerses in Rn+k for 5 less than or equal to n < 2k. Then N also immerses in Rn+k. We use techniques of normal bordism theory to prove this result and we show that for a large family of spaces we can replace the homolog condition by the corresponding one in homotopy. (C) 2001 Elsevier B.V. B.V. All rights reserved.
Issue Date: 
14-Dec-2001
Citation: 
Topology and Its Applications. Amsterdam: Elsevier B.V., v. 116, n. 3, p. 293-303, 2001.
Time Duration: 
293-303
Publisher: 
Elsevier B.V.
Keywords: 
  • normal bordism
  • immersion of manifold
  • localization
  • group action
  • nilpotent space
Source: 
http://dx.doi.org/10.1016/S0166-8641(00)90093-2
URI: 
Access Rights: 
Acesso aberto
Type: 
outro
Source:
http://repositorio.unesp.br/handle/11449/25117
Appears in Collections:Artigos, TCCs, Teses e Dissertações da Unesp

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