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Author : Richard Eugene McGill
Publisher :
ISBN 13 :
Total Pages : 68 pages
Book Rating : 4.37/5 ( download)
Download or read book Topological Structures for a Space of Continuous Functions written by Richard Eugene McGill and published by . This book was released on 1958 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Richard Eugene McGill
Publisher :
ISBN 13 :
Total Pages : 50 pages
Book Rating : 4.38/5 ( download)
Download or read book Topological Structures for a Space of Continuous Functions written by Richard Eugene McGill and published by . This book was released on 1959 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Robert A. McCoy
Publisher : Springer
ISBN 13 : 3540391819
Total Pages : 128 pages
Book Rating : 4.14/5 ( download)
Download or read book Topological Properties of Spaces of Continuous Functions written by Robert A. McCoy and published by Springer. This book was released on 2006-12-08 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book brings together into a general setting various techniques in the study of the topological properties of spaces of continuous functions. The two major classes of function space topologies studied are the set-open topologies and the uniform topologies. Where appropriate, the analogous theorems for the two major classes of topologies are studied together, so that a comparison can be made. A chapter on cardinal functions puts characterizations of a number of topological properties of function spaces into a more general setting: some of these results are new, others are generalizations of known theorems. Excercises are included at the end of each chapter, covering other kinds of function space topologies. Thus the book should be appropriate for use in a classroom setting as well as for functional analysis and general topology. The only background needed is some basic knowledge of general topology.
Author : G.L.M. Groenewegen
Publisher : Springer
ISBN 13 : 9462392013
Total Pages : 183 pages
Book Rating : 4.14/5 ( download)
Download or read book Spaces of Continuous Functions written by G.L.M. Groenewegen and published by Springer. This book was released on 2016-06-17 with total page 183 pages. Available in PDF, EPUB and Kindle. Book excerpt: The space C(X) of all continuous functions on a compact space X carries the structure of a normed vector space, an algebra and a lattice. On the one hand we study the relations between these structures and the topology of X, on the other hand we discuss a number of classical results according to which an algebra or a vector lattice can be represented as a C(X). Various applications of these theorems are given.Some attention is devoted to related theorems, e.g. the Stone Theorem for Boolean algebras and the Riesz Representation Theorem.The book is functional analytic in character. It does not presuppose much knowledge of functional analysis; it contains introductions into subjects such as the weak topology, vector lattices and (some) integration theory.
Author : Jürgen Flachsmeyer
Publisher :
ISBN 13 :
Total Pages : 290 pages
Book Rating : 4.10/5 ( download)
Download or read book Contributions to Extension Theory of Topological Structures written by Jürgen Flachsmeyer and published by . This book was released on 1969 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Robert A. McCoy
Publisher : Springer
ISBN 13 : 3319770543
Total Pages : 106 pages
Book Rating : 4.43/5 ( download)
Download or read book Function Spaces with Uniform, Fine and Graph Topologies written by Robert A. McCoy and published by Springer. This book was released on 2018-04-21 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a comprehensive account of the theory of spaces of continuous functions under uniform, fine and graph topologies. Besides giving full details of known results, an attempt is made to give generalizations wherever possible, enriching the existing literature. The goal of this monograph is to provide an extensive study of the uniform, fine and graph topologies on the space C(X,Y) of all continuous functions from a Tychonoff space X to a metric space (Y,d); and the uniform and fine topologies on the space H(X) of all self-homeomorphisms on a metric space (X,d). The subject matter of this monograph is significant from the theoretical viewpoint, but also has applications in areas such as analysis, approximation theory and differential topology. Written in an accessible style, this book will be of interest to researchers as well as graduate students in this vibrant research area.
Author : Wolfgang J. Thron
Publisher :
ISBN 13 :
Total Pages : 264 pages
Book Rating : 4.56/5 ( download)
Download or read book Topological Structures written by Wolfgang J. Thron and published by . This book was released on 1966 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Leonard Gillman
Publisher : Courier Dover Publications
ISBN 13 : 0486816885
Total Pages : 321 pages
Book Rating : 4.83/5 ( download)
Download or read book Rings of Continuous Functions written by Leonard Gillman and published by Courier Dover Publications. This book was released on 2018-01-16 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed as a text as well as a treatise, the first systematic account of the theory of rings of continuous functions remains the basic graduate-level book in this area. 1960 edition.
Author : Gerhard Preuß
Publisher : Springer Science & Business Media
ISBN 13 : 9401004897
Total Pages : 306 pages
Book Rating : 4.93/5 ( download)
Download or read book Foundations of Topology written by Gerhard Preuß and published by Springer Science & Business Media. This book was released on 2011-06-27 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new foundation of Topology, summarized under the name Convenient Topology, is considered such that several deficiencies of topological and uniform spaces are remedied. This does not mean that these spaces are superfluous. It means exactly that a better framework for handling problems of a topological nature is used. In this setting semiuniform convergence spaces play an essential role. They include not only convergence structures such as topological structures and limit space structures, but also uniform convergence structures such as uniform structures and uniform limit space structures, and they are suitable for studying continuity, Cauchy continuity and uniform continuity as well as convergence structures in function spaces, e.g. simple convergence, continuous convergence and uniform convergence. Various interesting results are presented which cannot be obtained by using topological or uniform spaces in the usual context. The text is self-contained with the exception of the last chapter, where the intuitive concept of nearness is incorporated in Convenient Topology (there exist already excellent expositions on nearness spaces).
Author : Somashekhar A. Naimpally
Publisher : World Scientific
ISBN 13 : 9814407666
Total Pages : 294 pages
Book Rating : 4.63/5 ( download)
Download or read book Topology with Applications written by Somashekhar A. Naimpally and published by World Scientific. This book was released on 2013 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: The principal aim of this book is to introduce topology and its many applications viewed within a framework that includes a consideration of compactness, completeness, continuity, filters, function spaces, grills, clusters and bunches, hyperspace topologies, initial and final structures, metric spaces, metrization, nets, proximal continuity, proximity spaces, separation axioms, and uniform spaces.This book provides a complete framework for the study of topology with a variety of applications in science and engineering that include camouflage filters, classification, digital image processing, forgery detection, Hausdorff raster spaces, image analysis, microscopy, paleontology, pattern recognition, population dynamics, stem cell biology, topological psychology, and visual merchandising.It is the first complete presentation on topology with applications considered in the context of proximity spaces, and the nearness and remoteness of sets of objects. A novel feature throughout this book is the use of near and far, discovered by F Riesz over 100 years ago. In addition, it is the first time that this form of topology is presented in the context of a number of new applications.
