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Introduction to General Topology

Introduction to General Topology - 94 edition

ISBN13: 978-0201756111

Cover of Introduction to General Topology 94 (ISBN 978-0201756111)
ISBN13: 978-0201756111
ISBN10: 0201756110
Cover type:
Edition/Copyright: 94
Publisher: Addison-Wesley Longman, Inc.
Published: 1994
International: No

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Introduction to General Topology - 94 edition

ISBN13: 978-0201756111

George L. Cain

ISBN13: 978-0201756111
ISBN10: 0201756110
Cover type:
Edition/Copyright: 94
Publisher: Addison-Wesley Longman, Inc.

Published: 1994
International: No
Summary

Designed for the senior math major or first year graduate student, this text is a clear, well motivated, rigorous introduction to point-set topology. Through careful exposition, it helps students think abstractly, providing an excellent foundation and preparation for further studies in topology and advanced mathematics.

The text contains few illustrations, encouraging students to draw their own and motivating them to think abstractly.

FEATURES:

  • An excellent introduction to point-set topology is provided.
  • Substantial material is included on hyper spaces, multifunctions, and dimension­topics important in the study of fractual geometry and chaotic dynamics.
  • Excellent examples, current topics, and relevant applications are presented.

Author Bio

Cain, George L. : Georgia Institute of Technology

Table of Contents

Chatper 1: Set Theory

Chatper 2: Pseudometric Spaces

Chatper 3: Topological Spaces

Chatper 4: Continuous Functions

Chatper 5: Connected Spaces

Chatper 6: Compact Spaces

Chatper 7: Product Spaces

Chatper 8: Sequences

Chatper 9: Complete Pseudometric Spaces

Chatper 10: Euclidean Spaces

Chatper 11: Quotient Spaces

Chatper 12: Hyperspaces and Multifunctions

Chatper 13: Dimension

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