TY  - BOOK
AU  - Dodson,C.T.J.
AU  - Galanis,George
AU  - Vassiliou,Efstathios
TI  - Geometry in a Frechet context: a projective limit approach 
T2  - London mathematical society lecture note series
SN  - 9781316601952 
U1  - 515.732 23
PY  - 2016///
CY  - Cambridge : 
PB  - Cambridge University Press, 
KW  - Frechet spaces
KW  - Banach spaces
KW  - Differential Geometry
N1  - 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
N2  - 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
ER  -