Lectures on algebraic topology/ Haynes Miller
Publication details: Singapore: World Scientific, 2023Description: xi, 329 pages; diagrams; 23 cmISBN:- 9781944660437
- 23rd 514.2 M647
| Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
|---|---|---|---|---|---|---|---|
| Books | ISI Library, Kolkata | 514.2 M647 (Browse shelf(Opens below)) | Available | 138684 |
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| 514.2 M451 Algebraic topology | 514.2 M466 Concise course in algebraic topology | 514.2 M466 Concise course in algebraic topology / | 514.2 M647 Lectures on algebraic topology/ | 514.2 M647 Lectures on algebraic topology | 514.2 M653 Algebraic and geometric topology | 514.2 M839 A1-algebraic topology over a field |
Includes bibliography, index
Singular homology -- Computational methods -- Cohomology and duality -- Basic homotopy theory -- The homotopy theory of CW complexes -- Vector bundles and principal bundles -- Spectral sequences and Serre classes -- Characteristic classes, Steenrod operations and cobordism
Algebraic Topology and basic homotopy theory form a fundamental building block for much of modern mathematics. These lecture notes represent a culmination of many years of leading a two-semester course in this subject at MIT. The style is engaging and student-friendly, but precise. Every lecture is accompanied by exercises. It begins slowly in order to gather up students with a variety of backgrounds, but gains pace as the course progresses, and by the end the student has a command of all the basic techniques of classical homotopy theory.
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