Algebraic Topology
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Algebraic Topology
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Description
In most mathematics departments at major universities one of the three or four basic first-year graduate courses is in the subject of algebraic topology. This introductory textbook in algebraic topology is suitable for use in a course or for self-study, featuring broad coverage of the subject and a readable exposition, with many examples and exercises. The four main chapters present the basic material of the subject: fundamental group and covering spaces, homology and cohomology, higher homotopy groups, and homotopy theory generally. The author emphasizes the geometric aspects of the subject, which helps students gain intuition. A unique feature of the book is the inclusion of many optional topics which are not usually part of a first course due to time constraints, and for which elementary expositions are sometimes hard to find. Among these are: Bockstein and transfer homomorphisms, direct and inverse limits, H-spaces and Hopf algebras, the Brown representability theorem, the James reduced product, the Dold-Thom theorem, and a full exposition of Steenrod squares and powers. Researchers will also welcome this aspect of the book.
Product details
- Binding:
- Paperback
- Edition:
-
1
- Languages:
-
Published:
English
,
Original:
English
- Number of Pages:
-
556
- Publisher:
-
Cambridge University Press
- Publication Date:
-
2002
- Release Date:
-
2009-10-29
- Weight:
-
953 g
- Dimensions:
-
25/18/3 cm
- GPSR Manufacturer Reference:
-
[email protected]
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