Acta mathematica scientia, Series B >
SHARED VALUE IN A FINITE-DIMENSIONAL BANACH MANIFOLD
Received date: 2007-12-05
Revised date: 2008-12-14
Online 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.
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
J.M. Soriano . SHARED VALUE IN A FINITE-DIMENSIONAL BANACH MANIFOLD[J]. Acta mathematica scientia, Series B, 2010 , 30(5) : 1687 -1695 . DOI: 10.1016/S0252-9602(10)60162-2
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