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Introduction to Metric and Topological Spaces


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Table of Contents

Preface 1: Introduction 2: Notation and terminology 3: More on sets and functions 4: Review of some real analysis 5: Metric spaces 6: More concepts in metric spaces 7: Topological spaces 8: Continuity in topological spaces; bases 9: Some concepts in topological spaces 10: Subspaces and product spaces 11: The Hausdorff condition 12: Connected spaces 13: Compact spaces 14: Sequential compactness 15: Quotient spaces and surfaces 16: Uniform convergence 17: Complete metric spaces References Index

About the Author

Wilson A Sutherland was for many years a lecturer in mathematics in the University of Oxford, and a mathematics tutor at New College, Oxford. He has also taught at Massachusetts Institute of Technology and the University of Manchester, and, as a visiting professor, at Yale University and the University of Aberdeen.


`Review from previous edition 'This is a well written and to be recommended text... The book contains an excellent collection of exercises together with a guide to help the reader through these problems.'' Bulletin of the IMA `'...a carefully written introduction... a good, informative, well organized book...'' Jahresbericht der Deutschen Mathematiker-Vereinigung

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