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Title: Counterexamples in Topology by Lynn Arthur Steen, J. Arthur Seebach ISBN: 0-486-68735-X Publisher: Dover Pubns Pub. Date: 22 September, 1995 Format: Paperback Volumes: 1 List Price(USD): $11.95 |
Average Customer Rating: 4.5 (6 reviews)
Rating: 4
Summary: a good book to combine with a regular textbook
Comment: 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.
Rating: 5
Summary: Great Book
Comment: As a graduate I encountered a book called "counter examples in analysis" which I found very useful. I always dreamed of such a book in topology, this book exceeds my dreams. It is great. It does not cover all the examples that I have used over the decades but it does cover some that I have never seen. The style is quite readable for a professional topologist. The book goes into a lot of interesting details (and some while not interesting to me would be another person). In short for me it is an essential book. The question is to whom else would this be interesting to. It is clearly of little use to a first year student and less to more advanced student. It's brand of topology is not the current cutting edge. So the audience for this book is limited to a small group and for these people it is top notch.
Rating: 4
Summary: A book on Topolgy with a map
Comment: 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.
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Title: Counterexamples in Analysis by Bernard R. Gelbaum, John M. H. Olmsted ISBN: 0486428753 Publisher: Dover Pubns Pub. Date: 04 June, 2003 List Price(USD): $14.95 |
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Title: Topology (2nd Edition) by James Munkres ISBN: 0131816292 Publisher: Prentice Hall Pub. Date: 28 December, 1999 List Price(USD): $101.33 |
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Title: Topology from the Differentiable Viewpoint by John Willard Milnor ISBN: 0691048339 Publisher: Princeton Univ Pr Pub. Date: 24 November, 1997 List Price(USD): $17.95 |
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Title: Topology by John G. Hocking, Gail S. Young ISBN: 0486656764 Publisher: Dover Pubns Pub. Date: 01 June, 1988 List Price(USD): $14.95 |
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Title: Algebraic Topology by Allen Hatcher ISBN: 0521795400 Publisher: Cambridge University Press Pub. Date: 15 November, 2001 List Price(USD): $32.00 |
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