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Counterexamples in Topology (Paperback)

by Lynn Arthur Steen (Author), J.A. Seebach (Author)

4.0 out of 5 stars See all reviews (1 customer review)

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Product details

Paperback: 256 pages
Publisher: Dover Publications Inc.; New edition edition (23 Feb 1996)
Language English
ISBN-10: 048668735X
ISBN-13: 978-0486687353
Product Dimensions: 21 x 13.6 x 1.6 cm

Average Customer Review: 4.0 out of 5 stars See all reviews (1 customer review)

Amazon.co.uk Sales Rank: 92,384 in Books (See Bestsellers in Books)
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#32 in Books > Scientific, Technical & Medical > Mathematics > Geometry
#52 in Books > Science & Nature > Mathematics > Geometry & Topology

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Synopsis

Over 140 examples, preceded by a succinct exposition of general topology and basic terminology. Each example treated as a whole. Over 25 Venn diagrams and charts summarize properties of the examples, while discussions of general methods of construction and change give readers insight into construct

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	82% buy the item featured on this page: Counterexamples in Topology 4.0 out of 5 stars (1) �6.66
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15 of 15 people found the following review helpful:

4.0 out of 5 stars -- -- A counterexample to the standard topology book -- --, 17 Dec 1998

By A Customer

This is not your typical topology text. In the first part of the book, the authors give a crash course on basic point-set topology. Rather than proving theorems, the emphasis is on defining and explaining concepts, especially as the various concepts relate to each other. The explanations are not always sufficient in themselves for the student's understanding, but that wasn't the book's mission. In the second part, the book provides "Counterexamples": quite a few topologies, both the predictable and the quirky kinds. The topologies given vary considerably in level of difficulty. Thirdly, several pages at the end provide charts showing which properties the book's listed topologies have. The reader can use these charts to find a suitable topology for many applications or disproofs. Counterexamples in Topology is both useful and enjoyable, particularly for people who benefit from charts and outlines. It is not a book to be plowed through, page by page, like a textbook. Rather, it is a compendium of several interesting cases, any of which can be studied independently of the rest.

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