Download e-book for kindle: Geometry in a Fréchet Context: A Projective Limit Approach by C. T. J. Dodson,George Galanis,Efstathios Vassiliou

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

Many geometrical good points of manifolds and fibre bundles modelled on Fréchet areas both can't be outlined or are tricky to deal with at once. this can be end result of the inherent deficiencies of Fréchet areas; for instance, the shortcoming of a basic solvability idea for differential equations, the non-existence of an inexpensive Lie crew constitution at the normal linear team of a Fréchet area, and the non-existence of an exponential map in a Fréchet–Lie staff. during this publication, the authors describe intimately a brand new technique that overcomes lots of those barriers through the use of projective limits of geometrical gadgets modelled on Banach areas. it is going to entice researchers and graduate scholars from various backgrounds with an curiosity in infinite-dimensional geometry. The booklet concludes with an appendix outlining capability purposes and motivating destiny research.

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