数学物理学报(英文版) ›› 2010, Vol. 30 ›› Issue (5): 1687-1695.doi: 10.1016/S0252-9602(10)60162-2

• 论文 • 上一篇    下一篇

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
  • 收稿日期:2007-12-05 修回日期:2008-12-14 出版日期:2010-09-20 发布日期:2010-09-20
  • 基金资助:

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

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.

摘要:

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.

关键词: regular value, continuation methods, atlas, char, Banach manifold, compactness

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

中图分类号: 

  • 58C30