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Book Title: | Algebraic Topology |
Author: | Hatcher |
ISBN-13: | 9780521541862 |
Publication: | Cambridge |
Reprint Year: | 2003 |
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universities one of the three or four basic first-year graduate mathematics courses is algebraic topology. This introductory text is suitable for use in a course on the subject or for self-study, featuring broad coverage and a readable exposition, with many examples and exercises. The four main chapters present the basics: 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 is the inclusion of many optional topics not usually part of a first course due to time constraints: 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 Steenrod squares and powers.
Higher Education Textbooks
Paperback
English
Page count varies on each edition/reprint
2003
Textbooks & Study Guides, Higher Education Textbooks Book is recommended for Students, Teachers, Graduates, Professionals, and all bibliophiles
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