A generalized preimage theorem in global analysis

• Published in: Science China. Mathematics Vol. 44; no. 3; pp. 299 - 303
• Main Author: Ma, Jipu
• Format: Journal Article
• Language: English
• Published: Heidelberg Springer Nature B.V 01.03.2001; Department of Mathematics, Nanjing University, Nanjing 210093, Chinaemail: zfma@public.ptt.js.cn
• Subjects: Banach spaces; Manifolds; Theorems; Banach submanifolds; global analysis; preimage theorem

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.