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 ...
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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.
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Volume 428. This is an ex-library book and may have the usual library/used-book markings inside. This book has soft covers. In good all round condition. Please note the Image in this listing is a stock photo and may not match the covers of the actual item, 550grams, ISBN: 9781316601952.
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New. Trade paperback (US). London Mathematical Society Lecture Note Series . Intended for professional and scholarly audience. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.