Condition
VERY GOOD: Showing only minimal signs of use and wear, this paperback book is in very good condition.
Product Details
Continued from the back cover: "While there are many other works on introductory topology, this volume employs a methodology somewhat different form other texts. Metric space and point-set topology material is treated in the first two chapters; algebraic topological material in the remaining two. The authors lead the reader through a number of nontrivial applications of metric space topology to analysis, clearly establishing the relevance of topology to analysis. Second, the treatment of topics from elementary algebraic topology concentrates on results with concrete geometric meaning and presents relatively little algebraic formalism; at the same time, this treatment provides proofs of some highly nontrivial results (e.g., the noncontractibility of S
n ). By presenting homotopy theory without considering homology theory, important applications become immediately evident without the necessity of a large formal program.
"Prerequisites are familiarity with real numbers and some basic set theory. Carefully chosen exercises are integrated into the text (the authors have provided solutions to selected exercises for the Dover edition), while a list of notations and bibliographical references appear at the end of the book."
BRIEF CONTENTS
- Metric Spaces
- Topological Spaces
- Homotopy Theory
- Higher Dimensions
The book concludes with Bibliography, List of Notations, Solutions to Selected Exercises, and Index.
Note from the publisher: "This Dover edition, first published in 1999, is an unabridged reprint of the first edition of
Introduction to Topology, published by W.B. Saunders Company, Philadelphia, in 1983. The authors prepared a new addendum, Solutions to Selected Exercises, especially for this edition."
