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Topology
James Munkres
Second Edition
ISBN 10: 1-292-02362-7
ISBN 13: 978-1-292-02362-5
Pearson Education Limited
Edinburgh Gate
Harlow
Essex CM20 2JE
England and Associated Companies throughout the world
Visit us on the World Wide Web at: www.pearsoned.co.uk
© Pearson Education Limited 2014
All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted
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book by such owners.
ISBN 10: 1-292-02362-7
ISBN 13: 978-1-292-02362-5
British Library Cataloguing-in-Publication Data
A catalogue record for this book is available from the British Library
Printed in the United States of America
1
73
145
187
228
241
261
292
317
372
403
443
468
499
P E A R S O N
C U S T O M
L I B R A R Y
Table of Contents
Chapter 1. Set Theory and Logic
James Munkres
1
Chapter 2. Topological Spaces and Continuous Functions
James Munkres
73
Chapter 3. Connectedness and Compactness
James Munkres
145
Chapter 4. Countability and Separation Axioms
James Munkres
187
Chapter 5. The Tychonoff Theorem
James Munkres
228
Chapter 6. Metrization Theorems and Paracompactness
James Munkres
241
Chapter 7. Complete Metric Spaces and Function Spaces
James Munkres
261
Chapter 8. Baire Spaces and Dimension Theory
James Munkres
292
Chapter 9. The Fundamental Group
James Munkres
317
Chapter 10. Separation Theorems in the Plane
James Munkres
372
Chapter 11. The Seifert-van Kampen Theorem
James Munkres
403
Chapter 13. Classification of Covering Spaces
James Munkres
443
Chapter 12. Classification of Surfaces
James Munkres
468
Bibliography
James Munkres
499
I
Chapter 1
Set Theory and Logic
We adopt, as most mathematicians do, the naive point of view regarding set theory.
We shall assume that what is meant by a set of objects is intuitively clear, and we shall
proceed on that basis without analyzing the concept further. Such an analysis properly
belongs t ............

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