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Please use this identifier to cite or link to this item: http://acervodigital.unesp.br/handle/11449/25125
Title: 
Coincidence points of fiber maps on S-n-bundles
Author(s): 
Institution: 
  • Universidade de São Paulo (USP)
  • Universidade Federal de São Carlos (UFSCar)
  • Universidade Estadual Paulista (UNESP)
ISSN: 
0166-8641
Abstract: 
In this note we study coincidence of pairs of fiber-preserving maps f, g : E-1 -> E-2 where E-1, E-2 are S-n-bundles over a space B. We will show that for each homotopy class vertical bar f vertical bar of fiber-preserving maps over B, there is only one homotopy class vertical bar g vertical bar such that the pair (f, g), where vertical bar g vertical bar = vertical bar tau circle f vertical bar can be deformed to a coincidence free pair. Here tau : E-2 -> E-2 is a fiber-preserving map which is fixed point free. In the case where the base is S-1 we classify the bundles, the homotopy classes of maps over S-1 and the pairs which can be deformed to coincidence free. At the end we discuss the self-coincidence problem. (C) 2010 Elsevier B.V. All rights reserved.
Issue Date: 
1-Jul-2010
Citation: 
Topology and Its Applications. Amsterdam: Elsevier B.V., v. 157, n. 10-11, p. 1760-1769, 2010.
Time Duration: 
1760-1769
Publisher: 
Elsevier B.V.
Keywords: 
  • Fixed point
  • Fiber bundle
  • Fiberwise homotopy
  • Coincidence theory
  • Spherical bundle
Source: 
http://dx.doi.org/10.1016/j.topol.2010.02.025
URI: 
Access Rights: 
Acesso restrito
Type: 
outro
Source:
http://repositorio.unesp.br/handle/11449/25125
Appears in Collections:Artigos, TCCs, Teses e Dissertações da Unesp

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