Overview
- The first research monograph to study exclusively uniform, fine and graph topologies on spaces of continuous functions
- Studies uniform and fine topologies on spaces of self-homeomorphisms on metric spaces
- Provides generalizations of known results in the theory of spaces of continuous functions
Part of the book series: SpringerBriefs in Mathematics (BRIEFSMATH)
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Table of contents (6 chapters)
Keywords
About this book
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.
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Authors and Affiliations
Bibliographic Information
Book Title: Function Spaces with Uniform, Fine and Graph Topologies
Authors: Robert A. McCoy, Subiman Kundu, Varun Jindal
Series Title: SpringerBriefs in Mathematics
DOI: https://doi.org/10.1007/978-3-319-77054-3
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Author(s) 2018
Softcover ISBN: 978-3-319-77053-6Published: 25 April 2018
eBook ISBN: 978-3-319-77054-3Published: 21 April 2018
Series ISSN: 2191-8198
Series E-ISSN: 2191-8201
Edition Number: 1
Number of Pages: XVIII, 106
Topics: Topology