Counterexamples in Topology (Dover Books on Mathematics)

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

21 customer reviews

ISBN-13: 978-0486687353

ISBN-10: 048668735X

Why is ISBN important?

Have one to sell? Sell on Amazon

Added to

Unable to add item to List. Please try again.

Share <Embed>

Buy new

$7.57

In Stock.

Ships from and sold by Amazon.com. Gift-wrap available.

Want it Wednesday, July 5? Order within and choose Two-Day Shipping at checkout. Details

List Price: $15.95 Save: $8.38 (53%)

42 New from $7.57

FREE Shipping on orders over $25—or get FREE Two-Day Shipping with

Turn on 1-Click ordering

Ship to:

Select a shipping address:

More Buying Choices

42 New from $7.57 51 Used from $7.56

93 used & new from $7.56

See All Buying Options

Free%20Two-Day%20Shipping%20for%20College%20Students%20with%20Amazon%20Student

According to the authors of this highly useful compendium, focusing on examples is an extremely effective method of involving undergraduate mathematics students in actual research. It is only as a result of pursuing the details of each example that students experience a significant increment in topological understanding. With that in mind, Professors Steen and Seebach have assembled 143 examples in this book, providing innumerable concrete illustrations of definitions, theorems, and general methods of proof. Far from presenting all relevant examples, however, the book instead provides a fruitful context in which to ask new questions and seek new answers.
Ranging from the familiar to the obscure, the examples are preceded by a succinct exposition of general topology and basic terminology and theory. Each example is treated as a whole, with a highly geometric exposition that helps readers comprehend the material. Over 25 Venn diagrams and reference charts summarize the properties of the examples and allow students to scan quickly for examples with prescribed properties. In addition, discussions of general methods of constructing and changing examples acquaint readers with the art of constructing counterexamples. The authors have included an extensive collection of problems and exercises, all correlated with various examples, and a bibliography of 140 sources, tracing each uncommon example to its origin.
This revised and expanded second edition will be especially useful as a course supplement and reference work for students of general topology. Moreover, it gives the instructor the flexibility to design his own course while providing students with a wealth of historically and mathematically significant examples. 1978 edition.

Counterexamples in Topology (Dover Books on Mathematics)

$7.57 FREE Shipping on orders over $25—or get FREE Two-Day Shipping with In Stock. Ships from and sold by Amazon.com. Gift-wrap available.

Frequently bought together

Total price: $42.03

Buy the selected items together

This item:Counterexamples in Topology (Dover Books on Mathematics) by Lynn Arthur Steen Paperback $7.57
In Stock.
Ships from and sold by Amazon.com.
FREE Shipping on orders over $25. Details
Counterexamples in Analysis (Dover Books on Mathematics) by Bernard R. Gelbaum Paperback $14.53
In Stock.
Ships from and sold by Amazon.com.
FREE Shipping on orders over $25. Details
Counterexamples in Probability: Third Edition (Dover Books on Mathematics) by Jordan M. Stoyanov Paperback $19.93
In Stock.
Ships from and sold by Amazon.com.
FREE Shipping on orders over $25. Details

Customers who bought this item also bought

Page 1 of 1 Start overPage 1 of 1

This shopping feature will continue to load items. In order to navigate out of this carousel please use your heading shortcut key to navigate to the next or previous heading.

Bernard R. Gelbaum

30

Paperback
$14.53
Jordan M. Stoyanov

7

Paperback
$19.93
Bert Mendelson

64

Paperback
$12.55
Munkres

79

Paperback
37 offers from $9.73
David S.

74

Paperback
66 offers from $15.94
Allen Hatcher

43

Paperback
$39.85

Customers viewing this page may be interested in these sponsored links

(What's this?)

NO_CONTENT_IN_FEATURE

Product details

Series: Dover Books on Mathematics
Paperback: 272 pages
Publisher: Dover Publications (September 22, 1995)
Language: English
ISBN-10: 048668735X
ISBN-13: 978-0486687353
Product Dimensions: 0.5 x 5.5 x 8.5 inches
Shipping Weight: 9.1 ounces (View shipping rates and policies)
Average Customer Review: 4.3 out of 5 stars See all reviews (21 customer reviews)
Amazon Best Sellers Rank: #249,566 in Books (See Top 100 in Books)
- #35 in Books > Science & Math > Mathematics > Geometry & Topology > Topology
- #1847 in Books > Textbooks > Science & Mathematics > Mathematics

If you are a seller for this product, would you like to suggest updates through seller support?

Customers viewing this page may be interested in these sponsored links

(What's this?)

Customer Reviews

4.3 out of 5 stars

5 star		62%
4 star		28%
3 star		5%
2 star		0%
1 star		5%

Write a customer review

See all verified purchase reviews

Top Customer Reviews

Exactly as the title suggests....

ByJoBon April 28, 2016

Format: PaperbackVerified Purchase

I am confident that most people will agree when I say that topology is a study that teaches us how counter-intuitive many results in Mathematics can be. This is an excellent book to search for counterexamples when testing a conjecture that you can't quite prove. Clearly written, and easy to follow.

0Comment One person found this helpful. Was this review helpful to you?YesNo

Good book to have around

ByJosh Madduxon February 24, 2013

Format: PaperbackVerified Purchase

I purchased this (on my own, not as a recommended or required text) for an introductory undergraduate topology class I took around a year ago. It was rather difficult to navigate at first, but as the semester progressed I found it increasingly useful as a side reference. It is perhaps even more useful now, as I like to go back to it, maybe go a little further and check my understanding periodically. Overall, I am satisfied with the purchase, and would recommend as a side text to anyone who wants to learn the material really well, and/or maintain it for a little bit while focusing more on other areas.

0Comment 4 people found this helpful. Was this review helpful to you?YesNo

A Really Cheap yet Great Resource for Topology

ByVerrückteron November 24, 2011

Format: PaperbackVerified Purchase

I really like the compactness of this book; that is, this book is the finite subcover for any arbitrary cover on the subject of Topology. Seriously, It gives almost all the major definitions which you would ever need, and it provides all kinds of nontrivial examples. Depending on your preference, the notation can sometimes be a little awkward, but it is neither incorrect nor ambiguous; that is, it is still correct and clear, depending on your understanding. Any mathematician ought to have this book in his collection for reference.

0Comment 7 people found this helpful. Was this review helpful to you?YesNo

Five Stars

ByKIon May 1, 2017

Format: PaperbackVerified Purchase

It's very good.

0CommentWas this review helpful to you?YesNo

Five Stars

ByWillon October 29, 2015

Format: Kindle EditionVerified Purchase

Super textbook: well organized, clearly written, and, by its very nature, full of lesser mentioned topological spaces.

0Comment One person found this helpful. Was this review helpful to you?YesNo

Five Stars

ByAmazon Customeron July 19, 2016

Format: PaperbackVerified Purchase

Nice book.

0CommentWas this review helpful to you?YesNo

Five Stars

BySLDBon October 2, 2014

Format: PaperbackVerified Purchase

great book

0CommentWas this review helpful to you?YesNo

A somewhat useful reference and study help for topoloy

ByAvanderon January 14, 2015

Format: PaperbackVerified Purchase

It was not as helpful as I hoped it would be studying topology. It did have some useful moments as a reference. Probably worth the expense I guess.

0CommentWas this review helpful to you?YesNo

Most Recent Customer Reviews

Five Stars

Thank you.

Published 7 months ago by Mark Kaplan

Five Stars

Great

Published 1 year ago by George Remscrm

Excellent book but not without mistakes

This is no more and no less than a catalogue (which may or may not be "complete" as far as it goes) of instances of point-set topology.Read more

Published on April 17, 2011 by Matt Westwood

Resource for deep knowledge of Point-Set Topology

This book is a must have for anyone who wants to contribute to remaining questions in point-set topology.Read more

Published on February 4, 2009 by Biblio

Counterexamples in Topology

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.Read more

Published on March 27, 2007 by Topology Student

Set up an Amazon Giveaway

Amazon Giveaway allows you to run promotional giveaways in order to create buzz, reward your audience, and attract new followers and customers. Learn more about Amazon Giveaway

This item: Counterexamples in Topology (Dover Books on Mathematics)

Set up a giveaway