Concise course in algebraic topology /

514.2
M466

C26313

May, J. P. Concise course in algebraic topology / J.P. May. - Chicago : University of Chicago Press, c1999.
ix, 243 p. : ill. ; 24 cm. - (Chicago lectures in mathematics ) Content notes : 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. 0226511839 (pbk. : alk. paper) * Algebraic topology. * Series