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

ISBN-10: 1316601951

ISBN-13: 9781316601952

Many geometrical good points of manifolds and fibre bundles modelled on Fréchet areas both can't be outlined or are tough to address at once. this is often because of the inherent deficiencies of Fréchet areas; for instance, the inability of a normal solvability conception for differential equations, the non-existence of an inexpensive Lie workforce constitution at the normal linear workforce of a Fréchet house, and the non-existence of an exponential map in a Fréchet–Lie team. during this ebook, the authors describe intimately a brand new method that overcomes lots of those obstacles through the use of projective limits of geometrical items modelled on Banach areas. it's 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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Geometry in a Fréchet Context: A Projective Limit Approach (London Mathematical Society Lecture Note Series) by C. T. J. Dodson,George Galanis,Efstathios Vassiliou


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