Geometry in a Frchet Context (Paperback). Questo articolo non è disponibile.Geometry in a Frchet Context (Paperback)

Paperback. 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 FrechetLie 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. Aimed at researchers and graduate students, this book presents a new approach to studying Frechet geometry which overcomes deficiencies of the Frechet space theory, such as the lack of a general solvability theory for differential equations. The book concludes with a series of open problems and suggestions for further research. This item is printed on demand. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.…