Algebraic topology / Allen Hatcher.
By: Hatcher, Allen.
Material type: BookPublisher: [S.l.] : Cambridge University Press, 2001Edition: 1st ed.Description: 556 p. ; 25 cm.ISBN: 0521535379 (paperback); 9780521535373 (paperback).Online resources: Amazon.com Summary: In most major 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.Item type | Current location | Call number | Status | Date due | Barcode | Item holds |
---|---|---|---|---|---|---|
Books |
Central Library, QUEST, Nawabshah
Welcome to the Central Library, QUEST, Nawabshah, Sindh, Pakistan |
514.2HAT (Browse shelf) | Checked out | 12/12/2023 | 40630 | |
Books |
Central Library, QUEST, Nawabshah
Welcome to the Central Library, QUEST, Nawabshah, Sindh, Pakistan |
514.2HAT (Browse shelf) | Available | 40631 | ||
Books |
Central Library, QUEST, Nawabshah
Welcome to the Central Library, QUEST, Nawabshah, Sindh, Pakistan |
514.2HAT (Browse shelf) | Checked out | 04/12/2024 | 40632 | |
Books |
Central Library, QUEST, Nawabshah
Welcome to the Central Library, QUEST, Nawabshah, Sindh, Pakistan |
514.2HAT (Browse shelf) | Available | 40633 | ||
Books | Reference Section | 514.2HAT (Shelf - 28A) (Browse shelf) | Available | 32406 |
In most major 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.
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