http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
1 online resource (xv, 230 pages) : illustrations.
"Topology is an essential part of the mathematics of today. Not only is it important in its own right, but its ideas and viewpoints influence a wide variety of other mathematical fields. This book provides the reader with a modern account of the basic concepts of topological and uniform spaces with an emphasis on the relation between the two. The material divides naturally into three sections; six chapters on topological theory, two chapters devoted to uniform theory and the final four chapters which draw on ideas from the first two sections." "The text is designed for senior undergraduate and graduate students in pure mathematics who have a general understanding of sets, algebra and analysis."--Jacket.
Introduction -- Historical Aspects -- Preliminaries -- Topological Spaces -- Continuity -- The Induced Topology and its Dual -- Open Funtions and Closed Functions -- Compact Spaces -- Separation Conditions -- Uniform Spaces -- The Uniform Topology -- Connectedness -- Countability and Related Topics -- Functional Separation Conditions -- Completeness and Completion -- Solutions to Exercises -- Bibliography -- Index.
Expanded and revised edition of: Topological and uniform spaces. c1987.
Includes bibliographical references (page 203) and index.
Springer undergraduate mathematics series