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The Convenient Setting of Global Analysis
About this Title
Andreas Kriegl, Universität Wien, Vienna, Austria and Peter W. Michor, Universität Wien, Vienna, Austria
Publication: Mathematical Surveys and Monographs
Publication Year:
1997; Volume 53
ISBNs: 978-0-8218-0780-4 (print); 978-0-8218-3396-4 (online)
DOI: https://doi.org/10.1090/surv/053
MathSciNet review: MR1471480
MSC: Primary 58Bxx; Secondary 46-02, 46Gxx, 46M20, 58C15
Table of Contents
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Front/Back Matter
Chapters
- I. Calculus of smooth mappings
- II. Calculus of holomorphic and real analytic mappings
- III. Partitions of unity
- IV. Smoothly realcompact spaces
- V. Extensions and liftings of mappings
- VI. Infinite dimensional manifolds
- VII. Calculus on infinite dimensional manifolds
- VIII. Infinite dimensional differential geometry
- IX. Manifolds of mappings
- X. Further applications