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