Download or read book The Topology of Uniform Convergence on Order Bounded Sets written by Y.-C. Wong and published by Springer. This book was released on 2006-11-14 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Topology of Uniform Convergence on Orderbounded Sets written by Yau-Chuen Wong and published by . This book was released on 1976 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Topology of Almost Uniform Convergence written by John W. Brace and published by . This book was released on 1956 with total page 74 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Topologies of uniform convergence written by Herbert Oscar Muecke and published by . This book was released on 1964 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book General Topology written by Stephen Willard and published by Courier Corporation. This book was released on 2012-07-12 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: Among the best available reference introductions to general topology, this volume is appropriate for advanced undergraduate and beginning graduate students. Includes historical notes and over 340 detailed exercises. 1970 edition. Includes 27 figures.
Download or read book The topology of uniform convergence on order bounded sets written by Yau-chuen Wong and published by . This book was released on 1976 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
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).
Download or read book Convergence and Uniformity in Topology AM 2 Volume 2 written by John W. Tukey and published by Princeton University Press. This book was released on 2016-03-02 with total page 90 pages. Available in PDF, EPUB and Kindle. Book excerpt: The description for this book, Convergence and Uniformity in Topology. (AM-2), Volume 2, will be forthcoming.
Download or read book Convergence Foundations Of Topology written by Szymon Dolecki and published by World Scientific Publishing Company. This book was released on 2016-05-13 with total page 569 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is an alternative to a classical introductory book in point-set topology. The approach, however, is radically different from the classical one. It is based on convergence rather than on open and closed sets. Convergence of filters is a natural generalization of the basic and well-known concept of convergence of sequences, so that convergence theory is more natural and intuitive to many, perhaps most, students than classical topology. On the other hand, the framework of convergence is easier, more powerful and far-reaching which highlights a need for a theory of convergence in various branches of analysis.Convergence theory for filters is gradually introduced and systematically developed. Topological spaces are presented as a special subclass of convergence spaces of particular interest, but a large part of the material usually developed in a topology textbook is treated in the larger realm of convergence spaces.
Download or read book Almost Uniform Convergence Versus Pointwise Convergence written by John W. Brace and published by . This book was released on 1958 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Uniform Convergence on Classes of Subsets written by Ray Calvin Shiflett and published by . This book was released on 1966 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the study of uniform convergence, one is led naturally to the question of how uniform convergence on subsets relates to uniform convergence on the whole space. This paper develops theorems on how pointwise convergence relates to uniform convergence on finite sets, how uniform convergence on finite subsets relates to uniform convergence on countable sets, and how uniform convergence on countable subsets relates to uniform convergence on uncountable sets. Questions involving uniform convergence on Cauchy sequences are also investigated. These lead to theorems concerning the continuity of limit functions of sequences of continuous functions which converge uniformly on Cauchy sequences. Many of the theorems are generalized ultimately to uniform space. In Chapter III, a topology equivalent to the topology of uniform convergence on compacta on the space of all functions mapping a complete space X to a space Y is introduced. Finally, nets of functions replace sequences of functions, and the possibility of generalizing the previously developed theorems is explored.
Download or read book General Topology written by John L. Kelley and published by Courier Dover Publications. This book was released on 2017-03-17 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The clarity of the author's thought and the carefulness of his exposition make reading this book a pleasure," noted the Bulletin of the American Mathematical Society upon the 1955 publication of John L. Kelley's General Topology. This comprehensive treatment for beginning graduate-level students immediately found a significant audience, and it remains a highly worthwhile and relevant book for students of topology and for professionals in many areas. A systematic exposition of the part of general topology that has proven useful in several branches of mathematics, this volume is especially intended as background for modern analysis. An extensive preliminary chapter presents mathematical foundations for the main text. Subsequent chapters explore topological spaces, the Moore-Smith convergence, product and quotient spaces, embedding and metrization, and compact, uniform, and function spaces. Each chapter concludes with an abundance of problems, which form integral parts of the discussion as well as reinforcements and counter examples that mark the boundaries of possible theorems. The book concludes with an extensive index that provides supplementary material on elementary set theory.
Download or read book The Topology of Almost Uniform Convergence written by John W. Brace and published by . This book was released on 1956 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 121 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.
Download or read book Topologies and Uniformities written by Ioan M. James and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: A substantially revised edition of the UTM volume, with a view to making the book far more accessible to undergraduates. It contains a larger number of detailed explanations and exercises, together with fully worked solutions to the essential problems and a new chapter on the historical aspects.
Download or read book Topology of Uniform Convergence on Order Bounded Sets written by Yale University and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Convergence of Measures on Uniform Spaces written by Errol Churchill Caby and published by . This book was released on 1976 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt:
