Geometry in a Fréchet Context : A Projective Limit Approach
Book Details
Format
Paperback / Softback
Book Series
London Mathematical Society Lecture Note Series
ISBN-10
1316601951
ISBN-13
9781316601952
Publisher
Cambridge University Press
Imprint
Cambridge University Press
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Dec 17th, 2015
Print length
316 Pages
Weight
462 grams
Dimensions
22.80 x 15.40 x 2.10 cms
Product Classification:
Functional analysis & transformsFunctional analysis and transformsGeometry
Ksh 12,400.00
Manufactured on Demand
0 in stock
Delivery Location
Delivery fee: Select location
Secure
Quality
Fast
Aimed at researchers and graduate students, this book presents a new approach to studying Fréchet geometry which overcomes deficiencies of the Fréchet space theory, such as the lack of a general solvability theory for differential equations. The book concludes with a series of open problems and suggestions for further research.
Many geometrical features of manifolds and fibre bundles modelled on Fréchet spaces either cannot be defined or are difficult to handle directly. This is due to the inherent deficiencies of Fréchet spaces; for example, the lack of a general solvability theory for differential equations, the non-existence of a reasonable Lie group structure on the general linear group of a Fréchet space, and the non-existence of an exponential map in a Fréchet–Lie group. 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.
Get Geometry in a Fréchet Context by at the best price and quality guaranteed only at Werezi Africa's largest book ecommerce store. The book was published by Cambridge University Press and it has pages.
