A generalized preimage theorem in global analysis

A generalized preimage theorem in global analysis

The concept of locally fine point and generalized regular value of a C1 map between Banach spaces were carried over C1 map between Banach manifolds. Hence the preimage theorem, a principle constructing Banach manifolds in global analysis, is generalized.

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Bibliographische Detailangaben
Veröffentlicht in:Science China. Mathematics 2001-03, Vol.44 (3), p.299-303
1. Verfasser: Ma, Jipu
Format: Artikel
Sprache:eng
Schlagworte:
Banach spaces
Manifolds
Theorems
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Beschreibung
Zusammenfassung:The concept of locally fine point and generalized regular value of a C1 map between Banach spaces were carried over C1 map between Banach manifolds. Hence the preimage theorem, a principle constructing Banach manifolds in global analysis, is generalized.
ISSN:1006-9283
1674-7283
1862-2763
1869-1862
DOI:10.1007/BF02878710