Topology and Geometry (Graduate Texts in Mathematics) | 
 enlarge | Author: Glen E. Bredon
Publisher: Springer
Category: Book
List Price: $74.95
Buy New: $40.00
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Rating:  6 reviews
Sales Rank: 607196
Media: Hardcover
Edition: Corrected
Pages: 557
Number Of Items: 1
Shipping Weight (lbs): 2
Dimensions (in): 9.3 x 6.3 x 1.2
ISBN: 0387979263
Dewey Decimal Number: 514.2
EAN: 9780387979267
Publication Date: October 17, 1997
Availability: Usually ships in 1-2 business days
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Product Description
This book is intended as a textbook for a first-year graduate course on algebraic topology, with as strong flavoring in smooth manifold theory. Starting with general topology, it discusses differentiable manifolds, cohomology, products and duality, the fundamental group, homology theory, and homotopy theory. It covers most of the topics all topologists will want students to see, including surfaces, Lie groups and fibre bundle theory. With a thoroughly modern point of view, it is the first truly new textbook in topology since Spanier, almost 25 years ago. Although the book is comprehensive, there is no attempt made to present the material in excessive generality, except where generality improves the efficiency and clarity of the presentation.
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| Customer Reviews: Read 1 more reviews...
 The Graduate Sudent's Topology Bible February 15, 2001
David A. Johannsen (Fredericksburg, Virginia USA)
11 out of 13 found this review helpful
If you want to learn topology, this book is the place. Though this text can require some maturity, the range of topics and the clarity of exposition are outstanding. My only complaint is that an additional appendix covering the basics of category theory would have been quite useful. Bredon not infrequently uses the language of category theory (though always in a non-essential way). Since this text is aimed at 1st year graduate students, I think the tacit assumption that the student has already encountered these topics is not justified. That such a minor point is my chief complaint speaks volumes of my esteem for this text.
My secret weapon in topology September 28, 1999
curtken@ksu.edu (Manhattan, KS)
18 out of 25 found this review helpful
Today I told someone that Bredon's "Topology and Geometry" book was my secret weapon. I say this because it has mostly everything a grad student in topology needs to know in order to be fluent in the subject. I bought it not because I was taking a class from it--I got it because I saw it at the library and realized that this is the 'end all' topology book for me and that I will not need to buy all those 'other' books in topology anymore. I will warn you though--some of the proofs are terse, so you have to be somewhat 'mathematically mature'. It is definately harder than Munkres' "Topology: A first course" (the red book). But it goes beyond the point set crap that gets (in my opinion) too much airtime. I wish I would have taken a class under this book.
Among the best textbooks in algebraic topology. April 29, 2001
6 out of 8 found this review helpful
As the previous reviewers have commented, this book is very accessible and detailed. I should add that the authour never lets you get lost in the labyrinth of abstract nonsense; the treatment is always geometric rather than homologico-algebraic. The only complaint I have is, the book would be more useful with chapters on spectral sequences, cobordism and K-theory.
excellent for first year graduate study January 17, 2002
5 out of 7 found this review helpful
This was the assigned book in my first year grad topology course. It has good examples, interesting exercises. I like the emphasis on geometrical examples, constructions. It's not easy to read, but interesting.
 Great Review Book September 3, 1998
5 out of 8 found this review helpful
I used this book to review for a Qualifier in Topology and found it exceptional. Lots of material presented in a well thought out manner. As a student, I highly recommend it as a first year grad text..
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