Geometry in a Fréchet Context

Name: Geometry in a Fréchet Context
SKU: 23908507
Price: 192.99 AUD
Availability: InStock

A Projective Limit Approach

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Format:

Paperback / softback

Series:

London Mathematical Society Lecture Note Series,

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Description

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.

Author Biography:

C. T. J. Dodson is Emeritus Professor of Mathematics at the University of Manchester. George Galanis is Associate Professor in the Section of Mathematics at the Hellenic Naval Academy in Piraeus, Greece. Efstathios Vassiliou is a former Associate Professor in the Department of Mathematics at the University of Athens. Since his retirement he has been a staff member in the postgraduate program on Didactics and Methodology of Mathematics in the same department.

Release date Australia

December 17th, 2015

Author

Audience

Tertiary Education (US: College)

Pages

314

Series

London Mathematical Society Lecture Note Series,

Dimensions

152x227x17

ISBN-13

9781316601952

Product ID

23908507

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