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Book Synopsis INFINITE DIMENSIONAL TOPOLOGY- PROCEEDINGS OF A SYMPOSIUM- ANNALS OF MATHEMATICS STUDIES by :
Download or read book INFINITE DIMENSIONAL TOPOLOGY- PROCEEDINGS OF A SYMPOSIUM- ANNALS OF MATHEMATICS STUDIES written by . This book was released on . Available in PDF, EPUB and Kindle. Book excerpt:
Author : Fernando Albiac
Release : 2016-07-19
Genre : Mathematics
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Book Rating : 579/5 ( reviews)
Book Synopsis Topics in Banach Space Theory by : Fernando Albiac
Download or read book Topics in Banach Space Theory written by Fernando Albiac. This book was released on 2016-07-19. Available in PDF, EPUB and Kindle. Book excerpt: This text provides the reader with the necessary technical tools and background to reach the frontiers of research without the introduction of too many extraneous concepts. Detailed and accessible proofs are included, as are a variety of exercises and problems. The two new chapters in this second edition are devoted to two topics of much current interest amongst functional analysts: Greedy approximation with respect to bases in Banach spaces and nonlinear geometry of Banach spaces. This new material is intended to present these two directions of research for their intrinsic importance within Banach space theory, and to motivate graduate students interested in learning more about them. This textbook assumes only a basic knowledge of functional analysis, giving the reader a self-contained overview of the ideas and techniques in the development of modern Banach space theory. Special emphasis is placed on the study of the classical Lebesgue spaces Lp (and their sequence space analogues) and spaces of continuous functions. The authors also stress the use of bases and basic sequences techniques as a tool for understanding the isomorphic structure of Banach spaces. From the reviews of the First Edition: "The authors of the book...succeeded admirably in creating a very helpful text, which contains essential topics with optimal proofs, while being reader friendly... It is also written in a lively manner, and its involved mathematical proofs are elucidated and illustrated by motivations, explanations and occasional historical comments... I strongly recommend to every graduate student who wants to get acquainted with this exciting part of functional analysis the instructive and pleasant reading of this book..."—Gilles Godefroy, Mathematical Reviews
Author : R. D. Anderson
Release : 2016-03-02
Genre : Mathematics
Kind : eBook
Book Rating : 404/5 ( reviews)
Book Synopsis Symposium on Infinite Dimensional Topology. (AM-69), Volume 69 by : R. D. Anderson
Download or read book Symposium on Infinite Dimensional Topology. (AM-69), Volume 69 written by R. D. Anderson. This book was released on 2016-03-02. Available in PDF, EPUB and Kindle. Book excerpt: In essence the proceedings of the 1967 meeting in Baton Rouge, the volume offers significant papers in the topology of infinite dimensional linear spaces, fixed point theory in infinite dimensional spaces, infinite dimensional differential topology, and infinite dimensional pointset topology. Later results of the contributors underscore the basic soundness of this selection, which includes survey and expository papers, as well as reports of continuing research.
Author : Robion C. Kirby
Release : 2016-03-02
Genre : Mathematics
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Book Rating : 501/5 ( reviews)
Book Synopsis Foundational Essays on Topological Manifolds, Smoothings, and Triangulations. (AM-88), Volume 88 by : Robion C. Kirby
Download or read book Foundational Essays on Topological Manifolds, Smoothings, and Triangulations. (AM-88), Volume 88 written by Robion C. Kirby. This book was released on 2016-03-02. Available in PDF, EPUB and Kindle. Book excerpt: Since Poincaré's time, topologists have been most concerned with three species of manifold. The most primitive of these--the TOP manifolds--remained rather mysterious until 1968, when Kirby discovered his now famous torus unfurling device. A period of rapid progress with TOP manifolds ensued, including, in 1969, Siebenmann's refutation of the Hauptvermutung and the Triangulation Conjecture. Here is the first connected account of Kirby's and Siebenmann's basic research in this area. The five sections of this book are introduced by three articles by the authors that initially appeared between 1968 and 1970. Appendices provide a full discussion of the classification of homotopy tori, including Casson's unpublished work and a consideration of periodicity in topological surgery.
Author : W. Kotzé
Release : 1970
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Book Synopsis Mathematics Colloquium and 1969 Symposium on Topology by : W. Kotzé
Download or read book Mathematics Colloquium and 1969 Symposium on Topology written by W. Kotzé. This book was released on 1970. Available in PDF, EPUB and Kindle. Book excerpt:
