000 02219nam a22002657a 4500
005 20230904114606.0
008 230904b |||||||| |||| 00| 0 eng d
020 _a9780486406800
028 _a: Raghav Books Pvt. Ltd.
_b: A-184, A, Nand Gram, Ghaziabad, UP.
_c: 3973
_d: 26/08/2023
082 _a514 GAN
100 _aGamelin, Theodore W.
100 _a; Greene, Robert Everist.
245 _aIntroduction to topology
_c/Theodore W Gamelin.
250 _a: 2nd.
260 _a, Mineola, N.Y
_b: Dover Publications
_c, 1999.
300 _a xii, 234 pages
_b : illustrations
_c; 24 cm.
365 _b1708
505 _a Metric spaces Topological spaces Homotopy theory Higher dimensional homotopy
520 _aOne 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.
650 _aTopology
650 _aTopological Spaces
650 _aHomotopy
700 _aTheodore W Gamelin.
942 _cBOOK
999 _c60789
_d60789