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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| Published in | Science China. Mathematics Vol. 44; no. 3; pp. 299 - 303 |
|---|---|
| Main Author | |
| 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 | |
| Online Access | Get full text |
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| Abstract | 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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| AbstractList | O1; The concept of locally fine point and generalized regular valueof 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. 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. |
| Author | Ma Jipu |
| AuthorAffiliation | Department of Mathematics, Nanjing University, Nanjing 210093, Chinaemail: zfma@public.ptt.js.cn |
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| CitedBy_id | crossref_primary_10_1007_s11464_005_0018_y crossref_primary_10_1016_j_laa_2007_02_025 crossref_primary_10_3934_dcdss_2017055 crossref_primary_10_1016_S0252_9602_06_60032_5 crossref_primary_10_1007_s11464_014_0385_3 crossref_primary_10_1007_BF02835232 crossref_primary_10_1007_s11464_008_0019_8 crossref_primary_10_2140_pjm_2008_236_357 crossref_primary_10_1080_01630563_2014_970640 |
| Cites_doi | 10.1007/978-1-4612-4566-7 10.1007/BF02880060 10.1142/S0252959999000084 |
| ClassificationCodes | O1 |
| ContentType | Journal Article |
| Copyright | Science in China Press 2001. Copyright © Wanfang Data Co. Ltd. All Rights Reserved. |
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| EndPage | 303 |
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| Keywords | Banach submanifolds global analysis preimage theorem |
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| References | Ma Jipu (BF02878710_CR1) 1999; 20 Jipu Ma (BF02878710_CR3) 2000; 43 A. E. Zeidler (BF02878710_CR4) 1988 Jipu Ma (BF02878710_CR2) 2000; 43 |
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| Snippet | 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... O1; The concept of locally fine point and generalized regular valueof a C1 map between Banach spaces were carried over C1 map between Banach manifolds. Hence... |
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| SubjectTerms | Banach spaces Manifolds Theorems |
| Title | A generalized preimage theorem in global analysis |
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