Acta mathematica scientia,Series B ›› 2010, Vol. 30 ›› Issue (5): 1687-1695.doi: 10.1016/S0252-9602(10)60162-2

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SHARED VALUE IN A FINITE-DIMENSIONAL BANACH MANIFOLD

 J.M. Soriano   

  1. Departamento de Anàlisis Matemàtico, Facultad de Matemàticas, Universidad de Sevilla, Aptdo. 1160, Sevilla 41080, Spain
  • Received:2007-12-05 Revised:2008-12-14 Online:2010-09-20 Published:2010-09-20
  • Supported by:

    This work is partially supported by D.G.E.S. Pb 96-1338-CO 2-01 and the Junta de Andalucia.

Abstract:

Sufficient conditions are given to assert that two C1-mappings share only one value in a connected compact Banach manifold modelled over  Rn. The proof of the result, which is based upon continuation methods, is constructive.

Key words: regular value, continuation methods, atlas, char, Banach manifold, compactness

CLC Number: 

  • 58C30
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