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portada Geometry in a Fréchet Context: A Projective Limit Approach (London Mathematical Society Lecture Note Series) (in English)
Type
Physical Book
Publisher
Author
Year
2015
Language
English
Pages
314
Format
Paperback
ISBN13
9781316601952
Edition No.
1
Categories

Geometry in a Fréchet Context: A Projective Limit Approach (London Mathematical Society Lecture Note Series) (in English)

C. T. J. Dodson (Author) · Cambridge University Press · Paperback

Geometry in a Fréchet Context: A Projective Limit Approach (London Mathematical Society Lecture Note Series) (in English) - C. T. J. Dodson

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Synopsis "Geometry in a Fréchet Context: A Projective Limit Approach (London Mathematical Society Lecture Note Series) (in English)"

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.

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