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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Geometry in a Fréchet Context

Geometry in a Fréchet Context

Dodson, C. T. J.
Galanis, George
Vassiliou, Efstathios

Paperback

Series: London Mathematical Society Lecture Note, Book 428

Geometry

ISBN10: 1316601951
ISBN13: 9781316601952
Publisher: Cambridge University Press
Published: Dec 17 2015
Pages: 316
Weight: 0.99
Height: 0.69 Width: 6.01 Depth: 9.05
Language: 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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