Geometry in a Fréchet Context: A Projective Limit Approach (London Mathematical Society Lecture Note #428) (Paperback)

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Description


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


Product Details
ISBN: 9781316601952
ISBN-10: 1316601951
Publisher: Cambridge University Press
Publication Date: December 17th, 2015
Pages: 314
Language: English
Series: London Mathematical Society Lecture Note
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