Concise course in algebraic topology / J.P. May.
Material type:
TextSeries: Chicago lectures in mathematicsPublication details: Chicago : University of Chicago Press, c1999.Description: ix, 243 p. : ill. ; 24 cmISBN: - 0226511839 (pbk. : alk. paper)
- 514.2 23 M466
| Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
|---|---|---|---|---|---|---|---|
| Books | ISI Library, Kolkata | 514.2 M466 (Browse shelf(Opens below)) | Checked out | 18/09/2025 | C26313 |
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| 514.2 M449 Proceedings | 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 |
Includes bibliographical references and index.
Chapter 1. The fundamental group and some of its applications--
Chapter 2. Categorical language and the van Kampen theorem--
Chapter 3. Covering spaces--
Chapter 4. Graphs--
Chapter 5. Compactly generated spaces--
Chapter 6. Cofibrations--
Chapter 7. Fribrations--
Chapter 8. Based cofiber and fiber sequences--
Chapter 9. Higher homotopy groups--
Chapter 10. CW complexes--
Chapter 11. The homotopy excision and suspension theorems--
Chapter 12. A little homological algebra--
Chapter 13. Axiomatic and cellular homology theory--
Chapter 14. Derivations of properties from the axioms--
Chapter 15. The Hurewicz and uniqueness theorems--
Chapter 16. Singular homology theory--
Chapter 17. Some more homological algebra--
Chapter 18. Axiomatic and cellular cohomology theory--
Chapter 19. Derivations of properties from the axioms--
Chapter 20. The Poincare duality theorem--
Chapter 21. The index of manifolds; manifolds with boundary--
Chapter 22. Homology, cohomology, and Ks--
Chapter 23. Characteristic classes of vector bundles--
Chapter 24. An introduction to K-theory--
Chapter 25. An introduction to cobordism--
Suggestions for further reading--
Index.
Provides a treatment of algebraic topology that reflects the enormous internal developments within the field and retains the classical presentations of various topics where appropriate. Most chapters end with problems that further explore and refine the concepts presented.
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