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Geometry in a Frchet context - C. T. J. Dodson

9781316601952
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Title
Geometry in a Frchet context - a projective limit approach
Author
C. T. J. Dodson
format
Paperback / softback
Publisher
Cambridge University Press
Language
English
UK Publication Date
20151217

Many geometrical features of manifolds and fibre bundles modelled on Frchet spaces either cannot be defined or are difficult to handle directly. This is due to the inherent deficiencies of Frchet 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 Frchet space, and the non-existence of an exponential map in a Frchet-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.

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C. T. J. Dodson is Emeritus Professor of Mathematics at the University of Manchester.

Type
BOOK
Keyword Index
Frchet spaces.|Banach spaces.|Geometry, Differential.
Country of Publication
England
Number of Pages
xii, 302

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