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Description
Introduction to Topology: Second EditionOne of the most important milestones in mathematics in the twentieth century was the development of topology as an independent field of study and the subsequent systematic application 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;
One of the most important milestones in mathematics in the twentieth century was the development of topology as an independent field of study and the subsequent systematic application 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; algebraic topological material in the remaining two. The authors lead readers 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 proof of some highly nontrivial results. 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.
Binding Type: Paperback
Publisher: Dover Publications
Published: 02/16/1999
ISBN: 9780486406800
Pages: 256
Weight: 0.69lbs
Size: 9.20h x 6.15w x 0.48d
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Product Reviews
★★★★★ 4
As Advertised
Color: 5535-HP-white
The watch is what I expected, and works upon receipt as advertised. At this price, if it only works for 4-6 months it's easily worth the money. Large, nice looking face, day/date. Wristband is what you'd expect, but adequate and comfortable.
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Reviewed in the United States on December 25, 2023
★★★★★ 3
Dies after a Year
Color: 5566-ZP-white face
Watch worked fine for about a year, then just stopped working - just like that. No amount of shaking or gentle impacts would get it to start ticking again.
I'd also say my biggist issue with it was it was always difficult to tell which hand was the second hand and which hand was the minute hand since they're both the same color and thickness. Wish the hour and minute hands were a little thicker so they'd stand out a little better and/or that the minute hand was a different color so it was offset. Resulted in having to study the watch to get the time instead of a quick glimpse to see what time it was. Irritating after a while.
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Reviewed in the United States on February 15, 2026
★★★★★ 5
They were lightweight and attractive
Color: 5535-HP-white
Sleek and attractive
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Reviewed in the United States on April 6, 2026
★★★★★ 5
Blue faced watch.
Color: 5535-ZP-blue
Looks great
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Reviewed in the United States on May 23, 2026
★★★★★ 5
Good all around!!
Color: Dark Brown band & Rose Gold bezel & White dial
So far this is a very nice watch, light, thin, keeps good time, looks nice, nice band, nice price!!
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Reviewed in the United States on April 20, 2026