John L. Kelley

General Topology (eBook, ePUB)

• Format: ePub

Produktbeschreibung

"The clarity of the author's thought and the carefulness of his exposition make reading this book a pleasure," noted the Bulletin of the American Mathematical Society upon the 1955 publication of John L. Kelley's General Topology. This comprehensive treatment for beginning graduate-level students immediately found a significant audience, and it remains a highly worthwhile and relevant book for students of topology and for professionals in many areas.
A systematic exposition of the part of general topology that has proven useful in several branches of mathematics, this volume is especially intended as background for modern analysis. An extensive preliminary chapter presents mathematical foundations for the main text. Subsequent chapters explore topological spaces, the Moore-Smith convergence, product and quotient spaces, embedding and metrization, and compact, uniform, and function spaces. Each chapter concludes with an abundance of problems, which form integral parts of the discussion as well as reinforcements and counter examples that mark the boundaries of possible theorems. The book concludes with an extensive index that provides supplementary material on elementary set theory.
Dover (2017) republication of the edition published by the Van Nostrand Reinhold Company, New York, 1955.
www.doverpublications.com

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Produktdetails

• Verlag: Dover Publications
• Seitenzahl: 320
• Erscheinungstermin: 7. März 2017
• Englisch
• ISBN-13: 9780486820668
• Artikelnr.: 47758025

Autorenporträt

John L. Kelley (191699) taught at Notre Dame, the University of Chicago, and other universities, including Berkeley, from which he retired in 1985.

Inhaltsangabe

Preface; 0. Preliminaries; 1. Topological Spaces; 2. Moore-Smith
Convergence; 3. Product and Quotient Spaces; 4. Embedding and
Metrization; 5. Compact Spaces; 6. Uniform Spaces; 7. Function Spaces;
Appendix