TY  - BOOK
AU  - Gamelin,Theodore W.
AU  - Greene,Robert Everist
TI  - Introduction to topology
SN  - 0486406806
AV  - QA611 .G35 1999
U1  - 514 21
PY  - 1999///
CY  - Mineola, N.Y.
PB  - Dover Publications
KW  - Topology
KW  - fast
N1  - An unabridged reprint of the first edition published by W.B. Saunders Company, Philadelphia in 1983. A new addendum has been added; Includes bibliographical references (page 192) and index; Metric spaces -- Topological spaces -- Homotopy theory -- Higher dimensional homotopy
N2  - One of the most important milestones in mathematics in the 20th century has been the development of topological ideas to other fields of mathematics. While there are many other works on introductory topology, this volume employs a methodology somewhat different from other texts. Metric space and point-set topology material is treated in the first two chapters; albegraic 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 noncontractability of S[superscript 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 provided solutions to selected exercises for the Dover edition), while a list of notations and bibliographical references appear at the end of the book. -- from back cover
ER  -