Geometry in a Frechet context : a projective limit approach / C.T.J. Dodson, George Galanis and Efstathios Vassiliou.

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.