Buying Options

Digital List Price:	$14.95
Kindle Price:	$9.99 Save $4.96 (33%)

Promotions apply when you purchase

eTextbook features:

Highlight, take notes, and search in the book
Create digital flashcards instantly

Deliver to your Kindle Library

You've subscribed to ! We will preorder your items within 24 hours of when they become available. When new books are released, we'll charge your default payment method for the lowest price available during the pre-order period.

Update your device or payment method, cancel individual pre-orders or your subscription at
Your Memberships & Subscriptions

There was an error. We were unable to process your subscription due to an error. Please refresh and try again.

Counterexamples in Topology (Dover Books on Mathematics) by [Lynn Arthur Steen, J. Arthur Seebach]

Follow the Authors

Lynn Arthur Steen

J. Arthur Seebach

Counterexamples in Topology (Dover Books on Mathematics) Kindle Edition

by Lynn Arthur Steen (Author), J. Arthur Seebach (Author) Format: Kindle Edition

113 ratings

Part of: Dover Books on Mathematics (306 books)

See all formats and editions

Price

New from

Used from

eTextbook

"Please retry"

$9.99

—

Hardcover

"Please retry"

$179.83

$147.97

$35.00

Paperback

"Please retry"

$97.23

$86.39

$46.03

eTextbook
$9.99 Read with Our Free App
Hardcover
$179.83

4 Used from $35.00 1 New from $147.97
Paperback
$46.03 - $97.23

10 Used from $46.03 10 New from $86.39

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.

ISBN-13

978-0486687353
Sticky notes

On Kindle Scribe
Publisher

Dover Publications
Publication date

April 22, 2013
Language

English
File size

5790 KB
See all details

Read with the free Kindle apps (available on iOS, Android, PC & Mac), Kindle E-readers and on Fire Tablet devices. See all supported devices

Theodore W. Gamelin
118
Kindle Edition
1 offer from $9.99
Jacob Klein
32
Kindle Edition
1 offer from $9.99

Product details

ASIN ‏ : ‎ B00CDGSFSI
Publisher ‏ : ‎ Dover Publications (April 22, 2013)
Publication date ‏ : ‎ April 22, 2013
Language ‏ : ‎ English
File size ‏ : ‎ 5790 KB
Text-to-Speech ‏ : ‎ Enabled
Screen Reader ‏ : ‎ Supported
Enhanced typesetting ‏ : ‎ Enabled
X-Ray ‏ : ‎ Not Enabled
Word Wise ‏ : ‎ Not Enabled
Sticky notes ‏ : ‎ On Kindle Scribe
Print length ‏ : ‎ 312 pages

Best Sellers Rank: #1,464,876 in Kindle Store (See Top 100 in Kindle Store)
- #53 in Topology (Kindle Store)
- #491 in Topology (Books)

Customer Reviews:
113 ratings

Brief content visible, double tap to read full content.

Full content visible, double tap to read brief content.

Videos

Help others learn more about this product by uploading a video!

Upload your video

About the authors

Follow authors to get new release updates, plus improved recommendations.

Lynn Arthur Steen
Brief content visible, double tap to read full content.
Full content visible, double tap to read brief content.
Discover more of the author’s books, see similar authors, read author blogs and more
See more on the author's page
J. Arthur Seebach
Brief content visible, double tap to read full content.
Full content visible, double tap to read brief content.
Discover more of the author’s books, see similar authors, read author blogs and more
See more on the author's page

Customer reviews

4.7 out of 5

113 global ratings

5 star		87%
4 star		5%
3 star		4%
2 star		2%
1 star		1%

How customer reviews and ratings work

Top reviews from the United States

There was a problem filtering reviews right now. Please try again later.

Brianne

Great Counterexamples

Reviewed in the United States 🇺🇸 on February 16, 2022

Verified Purchase

I haven't been able to read the entire thing, but this book is great for anyone interested in specific topological examples of concepts like the T_n spaces and so forth. Some of my personal favorites include the Cantor set and the Broom space.

One person found this helpful

Helpful

Jaron P. Melin

A Really Cheap yet Great Resource for Topology

Reviewed in the United States 🇺🇸 on November 24, 2011

Verified 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.

19 people found this helpful

Helpful

Josh Maddux

Good book to have around

Reviewed in the United States 🇺🇸 on February 25, 2013

Verified 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.

10 people found this helpful

Helpful

JoB

Exactly as the title suggests....

Reviewed in the United States 🇺🇸 on April 28, 2016

Verified 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.

8 people found this helpful

Helpful

Will

Five Stars

Reviewed in the United States 🇺🇸 on October 29, 2015

Verified Purchase

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

3 people found this helpful

Helpful

KI

Five Stars

Reviewed in the United States 🇺🇸 on May 2, 2017

It's very good.

A somewhat useful reference and study help for topoloy

Reviewed in the United States 🇺🇸 on January 14, 2015

Verified 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.

One person found this helpful

Helpful

Mark Kaplan

Five Stars

Reviewed in the United States 🇺🇸 on November 18, 2016

Verified Purchase

Thank you.

Helpful

Top reviews from other countries

Translate all reviews to English

Garrold

Not a textbook, but a great survey

Reviewed in the United Kingdom 🇬🇧 on January 2, 2012

Verified Purchase

This book is a classic. I bought this book because I was trying to understand the range of topologies that exist, which this book achieves. It also systematically classifies topologies by their topological properties, and summarised the information in tables at the back of the book. This book is a not a text book, but I learnt a lot by browsing it.

One person found this helpful

Matheus Bellini

Good book and good delivery/condition

Reviewed in Brazil 🇧🇷 on August 20, 2020

Verified Purchase

This book is an excellent reference for those who want to study in depth the basic concepts in General Topology. Since the focus is on distinguishing between definitions which intuitively correspond to similar principles (after all, the title is COUNTEREXAMPLES), this is a great guide to learn those definitions with much detail and get a good grasp on how they work, and the intricate connections between them.
Also, several Venn diagrams and reference charts (including a general reference chart) help find quickly any kind of counterexample and illustrate which implications are true or false.
Some examples are also illustrated for better comprehension, usually when describing weird neighborhoods.

I purchased this paperback edition (I don't know if there is a hardcover one), and it arrived on time and in mint condition. The book is well printed and well edited, easy to use and read.

One person found this helpful

Peter Ripota

Topologie für Fortgeschrittene

Reviewed in Germany 🇩🇪 on June 5, 2013

Verified Purchase

Mathematikstudenten, die sich mit mengentheoretischer Topologie beschäftigen wollen oder müssen, könnten dieses Buch mit großem Gewinn durcharbeiten. Das Werk ist kein Lehrbuch, aber eine nützliche Ergänzung dazu. Zuerst bietet der Autor systematische Definitionen aller Begriffe, die später gebraucht werden. Dann werden zahlreiche, manchmal ungewöhnlich konstruierte, Topologien als mengentheoretische Konstrukte vorgestellt und systematisch bewertet. Im Anhang gibt es dann zahlreiche Aufgaben dazu. Für den Topologen eine wirklich große Hilfe, wenn ich mir auch mehr und bessere (und größere) Diagramme gewünscht hätte. Nicht jeder kann so abstrakt denken, wie es das Buch und das Gebiet verlangen.

Translate review to English

Sansan

Umfangreiches Nachschlagewerk mit ungewöhnlichem aber gut durchdachtem Konzept

Reviewed in Germany 🇩🇪 on August 19, 2016

Verified Purchase

Counterexamples in Topology war eines meiner meistausgeliehenen Bücher zu Studienzeiten, anschließend legte ich mir ein eigenes Exemplar zu, da ich dieses Nachschlagewerk nicht missen wollte.
Das Buch besteht aus 2 Teilen: Einem Beispielteil, in dem zahlreiche topologische Räume aufgeführt sind, von denen jeweils einige wichtige Eigenschaften oder nicht-Eigenschaften bewiesen werden, und einem Tabellenteil, in dem die Beispiele sowie zahlreiche topologische Eigenschaften aufgeführt sind, so dass man ablesen kann ob Raum A die Eigenschaften X, Y und Z hat. Benutzt habe ich das Buch meist folgendermaßen: Ich wollte wissen, ob X und Y zusammen Z implizieren. Dazu suchte ich in der Tabelle nach einem Gegenbeispiel, also einem Raum der die Eigenschaften X und Y, aber nicht Z hat. Da meine Intuition in der Topologie schlecht funktioniert, wurde ich oft fündig und konnte mir so viel Zeit, die ich sonst mit suchen in Lehrbüchern, Foren oder eigenen Beweis/Gegenbeispielversuchen verbracht hätte, ersparen.
Es sollte allerdings jedem klar sein dass es sich hier um ein Nachschlagewerk, und kein Lehrbuch, handelt. Eine kompakte Einführung in die Begrifflichkeit wird zwar gegeben, ist aber eher als Referenz und zum Nachschlagen zu gebrauchen denn als Einführung.
Einziges, kleines Manko: In den Tabellen verrutsche ich manchmal in der Zeile oder Spalte, da sie wirklich sehr umfangreich und teilweise zweiseitig sind. 2 Geodreiecke schaffen hier notfalls Abhilfe.

Buying Options

Buy for others

Buying and sending eBooks to others

Follow the Authors

Counterexamples in Topology (Dover Books on Mathematics) Kindle Edition

Customers who viewed this item also viewed

Product details

Videos

About the authors

Lynn Arthur Steen

J. Arthur Seebach

Customer reviews

Top reviews from the United States

There was a problem filtering reviews right now. Please try again later.

Top reviews from other countries