Download Geometry in a Fréchet Context: A Projective Limit Approach by C. T. J. Dodson,George Galanis,Efstathios Vassiliou PDF

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

Many geometrical gains of manifolds and fibre bundles modelled on Fréchet areas both can't be outlined or are tough to deal with at once. this is often because of the inherent deficiencies of Fréchet areas; for instance, the inability of a common solvability thought for differential equations, the non-existence of an inexpensive Lie team constitution at the basic linear team of a Fréchet area, and the non-existence of an exponential map in a Fréchet–Lie workforce. during this e-book, the authors describe intimately a brand new technique that overcomes lots of those boundaries by utilizing projective limits of geometrical items modelled on Banach areas. it's going to entice researchers and graduate scholars from numerous backgrounds with an curiosity in infinite-dimensional geometry. The publication concludes with an appendix outlining strength purposes and motivating destiny research.

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