Thorough, modern treatment, essentially from a homotopy theoretic viewpoint. Topics include homotopy and simplicial complexes, the fundamental group, homology theory, homotopy theory, homotopy groups and CW-Complexes, and other topics. Each chapter contains exercises and suggestions for further reading. 1980 corrected edition.
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Most Helpful Customer Reviews
13 of 14 people found the following review helpful:
4.0 out of 5 stars
Not bad.,
By A Customer
This review is from: Algebraic Topology (Dover Books on Mathematics) (Paperback)
Maunder's text may not be the "best" book on algebraic topology, but I still recommend this one to those who find other more advanced texts like Spanier rather inaccessible. Warning: the chapter on cohomology and duality is not very well-organaized (compared to other chapters), so you may want to consult Bredon's book instead.
9 of 10 people found the following review helpful:
3.0 out of 5 stars
Shouldn't be your first text in algebraic topology.,
By Jack Smith (Toronto, Canada) - See all my reviews
This review is from: Algebraic Topology (Dover Books on Mathematics) (Paperback)
It is a decent book in algebraic topology, as a reference. At first, I found this textbook rather hard to read. Too many lemmas, theorems, etceteras. Three suggestions: 1. Needs more pictures, especially for the simplicial homology Chapter. 2. CW complexes should be covered before duality and not after. 3. Needs more examples and exercises. Overall, the book is very good, if you have already some experience in Algebraic Topology. I found that the Croom's book "Basic concepts of Algebraic Topology" is an excellent first textbook. Too bad it is out of print, since it is very popular, every time I get it from the library, someone else recalls it. The combination of these two books probably is the right thing to have: Maunder's book picks up where Croom has left you.
1 of 1 people found the following review helpful:
4.0 out of 5 stars
Solid,
Amazon Verified Purchase(What's this?)
This review is from: Algebraic Topology (Dover Books on Mathematics) (Paperback)
A very interesting book which I enjoyed. I particularly found useful the "crash review" in algebra and analysis which functioned as a useful reference throughout the book.
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