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. New Condition!!
Price: 23.48 GBP
Location: Plymouth
End Time: 2024-11-25T00:18:30.000Z
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Subject Area: Algebra, Applied Mathematics, Mathematical Analysis, Homology, Knot Theory, Cohomology, Effective Learning & Studying
Publication Name: Algebraic Topology
Publisher: Cambridge University Press
Subject: Mathematics, Algebra, Topology, Books, Education, Science
Publication Year: 2001
Type: Textbook
Format: Paperback
Language: English
Author: Allen Hatcher
Educational Level: Adult & Further Education, A Levels, Comprehensive School
Level: Beginner, Intermediate, Advanced, Proficiency, Business, Technical
Features: Illustrated
Country/Region of Manufacture: United Kingdom
Item Weight: 968 g
Number of Pages: 556 Pages
