- Amazon Student members save an additional 10% on Textbooks with promo code TEXTBOOK10. Enter code TEXTBOOK10 at checkout. Here's how (restrictions apply)
Topology (2nd Edition) Hardcover – Dec 28 1999
Special Offers and Product Promotions
Frequently Bought Together
Customers Who Bought This Item Also Bought
No Kindle device required. Download one of the Free Kindle apps to start reading Kindle books on your smartphone, tablet, and computer.
To get the free app, enter your e-mail address or mobile phone number.
From the Back Cover
This introduction to topology provides separate, in-depth coverage of both general topology and algebraic topology. Includes many examples and figures. GENERAL TOPOLOGY. Set Theory and Logic. Topological Spaces and Continuous Functions. Connectedness and Compactness. Countability and Separation Axioms. The Tychonoff Theorem. Metrization Theorems and paracompactness. Complete Metric Spaces and Function Spaces. Baire Spaces and Dimension Theory. ALGEBRAIC TOPOLOGY. The Fundamental Group. Separation Theorems. The Seifert-van Kampen Theorem. Classification of Surfaces. Classification of Covering Spaces. Applications to Group Theory. For anyone needing a basic, thorough, introduction to general and algebraic topology and its applications.
Inside This Book(Learn More)
What Other Items Do Customers Buy After Viewing This Item?
Top Customer Reviews
The book is divided into two sections, the first covering general, i.e. point-set, topology and the second covering algebraic topology. Exercises (without solutions) are provided throughout. The exercises include straight-forward applications of theorems and definitions, proofs, counter-examples, and more challenging problems.
My only complaint with this book is that it does not discuss manifolds and differentiable topology, but other texts fill this gap.
I highly recommend this book to anyone interested in studying topology; it is especially well-suited for self study.
Later at graduate school, Munkres was also used in a topology class at the beginning graduate level. Highlights were taken from the first section (point set topology), and a large focus of the class was on the algebraic topology in the second section of the book. Sometimes I had difficulty following exactly what the professor was doing at the blackboard, but I could always understand what was going on when I consulted Munkres.
I would stress that this is only to be used as an introduction to algebraic topology, as there is nearly no development of homology groups and other algebraic concepts. However, it gives a very good presentation for the fundamental group. As a whole it would be a very good addition to your mathematical library.
Having a course in analysis would certainly make the book flow since otherwise it would just to be a mental exercise rather than an extension of familiar concepts.
The exercises are very well thought out and are meant to be solved by all students given that they have some diligence. They truly help in turning a fog of concepts into concrete understanding.
Most recent customer reviews
Written on, stained, worn out. Do NOT buy used books online, because you won't get to see their condition before purchase. Also, don't buy from US, takes forever.Published on Oct. 19 2011 by Jonguk
The book I ordered came pretty quick and the condition was excellent - exactly as described. I would recommend this seller and buy from them again.Published on Aug. 22 2011 by richalar
As far as contents is concerned, this is a wonderful textboot for self-studying topology. Full of examples and a bit slow-paced, it describes even the 'clever' proofs (like... Read morePublished on Aug. 11 2003 by Juan David Gonzalez Cobas
This book is extremely well written; a great place to start learning topology. Unfortunately, the publisher has not given it the binding it deserves. Read morePublished on Nov. 5 2002
Although both parts of this book are exceptionally well written,
I've seen even better presentations of general topology in Sutherland's "Introduction to Topological and... Read more
This book should be treated as a senior undergraduate textbook on general probability. It can be used for 2-semesters 1st year graduate course textbook though it lack comprehensive... Read morePublished on Jan. 21 2002 by Diff D
As an engineering physicist trying to pick up more abstract math, I found topology to be a very difficult subject. Read morePublished on Dec 8 2001 by Cu-O
Look for similar items by category
- Books > Professional & Technical > Professional Science > Mathematics > Geometry & Topology
- Books > Professional & Technical > Professional Science > Mathematics > Pure Mathematics
- Books > Science & Math > Mathematics > Geometry & Topology > Topology
- Books > Science & Math > Mathematics > Pure Mathematics > Algebra
- Books > Textbooks > Sciences > Mathematics > Algebra & Trigonometry