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Counterexamples in Topology

Counterexamples in Topology

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Authors: Lynn Arthur Steen, J. Arthur Seebach
Publisher: Dover Publications
Category: Book

List Price: $12.95
Buy New: $7.58
You Save: $5.37 (41%)



New (22) Used (11) from $6.00

Rating: 4.0 out of 5 stars 9 reviews
Sales Rank: 61237

Media: Paperback
Pages: 256
Number Of Items: 1
Shipping Weight (lbs): 0.6
Dimensions (in): 8.3 x 5.4 x 0.6

ISBN: 048668735X
Dewey Decimal Number: 514.3
EAN: 9780486687353

Publication Date: September 22, 1995
Availability: Usually ships in 1-2 business days
Condition: New and unread. Cover is shiny and new, text is crisp, binding tight.

Customer Reviews:
Showing reviews 6-9 of 9
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4 out of 5 stars a good book to combine with a regular textbook   December 3, 2002
Ruth Sprague (Seattle, WA USA)
29 out of 29 found this review helpful

This book has examples in it that are "missing", so to speak, from many regular topology books. It aims to shore up some of these shortcomings, with examples that the student can see and understand. There are charts and graphs, as well as a detailed explanation. Some "problems" often found in regular topology books are solved. Very few proofs, if any, are given. This is not a book meant to be studied without a regular textbook on topology, only to be used as an overall review of problems and short basic premises of topology. Use this in addition to your regular fare, but keep it close at hand when doing homework or preparing for an exam.
There are fundamentals on Cantor's Theorem, the countability or uncountability of sets, compactness, closed and bounded functions, open sets, continuity, connectedness, etc. All these are basic to topology, and this book does address them, but in a brief way. It then shows a basic overview of topology that helps greatly to understand the different fields of topology.



4 out of 5 stars -- -- A counterexample to the standard topology book -- --   December 17, 1998
13 out of 13 found this review helpful

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.


4 out of 5 stars A book on Topolgy with a map   December 11, 1999
R. Bagula (Lakeside, Ca United States)
6 out of 13 found this review helpful

This book gave me an inspiration: it isn't the best written or the best organized, just one of the best topology books I've ever found! It gives you an idea of the areas of topology in a way that is very good and very understandable.


1 out of 5 stars Counterexamples in Topology   March 27, 2007
Topology Student (New York)
0 out of 11 found this review helpful

I have found this book to be confusing to use and therefore of little to no value. If I had seen in a bookstore and not Online I would not have purchased it. I also purchased Schaum's Outline of General Topology which is very good.

 

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