Geometry in a Fréchet Context

A Projective Limit Approach

Nonfiction, Science & Nature, Mathematics, Functional Analysis, Geometry
Cover of the book Geometry in a Fréchet Context by C. T. J. Dodson, George Galanis, Efstathios Vassiliou, Cambridge University Press
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: C. T. J. Dodson, George Galanis, Efstathios Vassiliou ISBN: 9781316564387
Publisher: Cambridge University Press Publication: December 17, 2015
Imprint: Cambridge University Press Language: English
Author: C. T. J. Dodson, George Galanis, Efstathios Vassiliou
ISBN: 9781316564387
Publisher: Cambridge University Press
Publication: December 17, 2015
Imprint: Cambridge University Press
Language: English

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

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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

More books from Cambridge University Press

Cover of the book Social Unrest and American Military Bases in Turkey and Germany since 1945 by C. T. J. Dodson, George Galanis, Efstathios Vassiliou
Cover of the book Sacrifice and Gender in Biblical Law by C. T. J. Dodson, George Galanis, Efstathios Vassiliou
Cover of the book The Earth's Inner Core by C. T. J. Dodson, George Galanis, Efstathios Vassiliou
Cover of the book Extensions of f(R) Gravity by C. T. J. Dodson, George Galanis, Efstathios Vassiliou
Cover of the book Integrated Modular Treatment for Borderline Personality Disorder by C. T. J. Dodson, George Galanis, Efstathios Vassiliou
Cover of the book Climate Engineering and the Law by C. T. J. Dodson, George Galanis, Efstathios Vassiliou
Cover of the book The Cambridge Companion to the Literature of New York by C. T. J. Dodson, George Galanis, Efstathios Vassiliou
Cover of the book A Computational Approach to Statistical Arguments in Ecology and Evolution by C. T. J. Dodson, George Galanis, Efstathios Vassiliou
Cover of the book The Religious and the Political by C. T. J. Dodson, George Galanis, Efstathios Vassiliou
Cover of the book The Cambridge Companion to Shakespeare's Last Plays by C. T. J. Dodson, George Galanis, Efstathios Vassiliou
Cover of the book Manual of Neurosonology by C. T. J. Dodson, George Galanis, Efstathios Vassiliou
Cover of the book Introduction to Elementary Particle Physics by C. T. J. Dodson, George Galanis, Efstathios Vassiliou
Cover of the book Human Motivation by C. T. J. Dodson, George Galanis, Efstathios Vassiliou
Cover of the book Observational Astronomy by C. T. J. Dodson, George Galanis, Efstathios Vassiliou
Cover of the book The Singlish Controversy by C. T. J. Dodson, George Galanis, Efstathios Vassiliou
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy