Geometry in a Frechet context : a projective limit approach / C.T.J. Dodson, George Galanis and Efstathios Vassiliou.
Material type:
TextSeries: London mathematical society lecture note series ; 428.Publication details: Cambridge : Cambridge University Press, 2016.Description: xii, 302 pages ; 23 cmISBN: - 9781316601952
- 515.732 23 D647
| Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
|---|---|---|---|---|---|---|---|
| Books | ISI Library, Kolkata | 515.732 D647 (Browse shelf(Opens below)) | Available | 137460 |
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| 515.732 D564 Sequences and series in banach spaces | 515.732 D564 Geometry of banach spaces | 515.732 D646 Banach spaces and descriptive set theory | 515.732 D647 Geometry in a Frechet context : | 515.732 D884 Reflexive and superreflexive banach space | 515.732 D979 Intersection properties of balls in Banach spaces and related topics | 515.732 E147 Topics in Banach space of continuous functions |
Includes bibliographical references and index.
Preface;
1. Banach manifolds and bundles;
2. Frechet spaces;
3. Frechet manifolds;
4. Projective systems of principal bundles;
5. Projective systems of vector bundles;
6. Examples of projective systems of bundles;
7. Connections on plb-vector bundles;
8. Geometry of second order tangent bundles;
Appendix. Further study.
In this book, the authors describe in detail a new approach that overcomes many of these limitations by using projective limits of geometrical objects modelled on Banach spaces. It will appeal to researchers and graduate students from a variety of backgrounds with an interest in infinite-dimensional geometry. The book concludes with an appendix outlining potential applications and motivating future research.
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