A Concise Course in Algebraic Topology, J. P. May
The topics are discussed in this book are listed below :
Chapter-1. The fundamental group and some of its applications
Chapter-2. Categorical language and thevan Kampen theorem
Chapter-3. Covering spaces
Chapter-4. Graphs
Chapter-5. Compactly generated spaces
Chapter-6. Cobrations
Chapter-7. Fibrations
Chapter- 8. Based cober and bersequences
Chapter-9. Higher homotopygroups
Chapter-10. CWcomplexes
Chapter-11. The homotopyexcision 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 cellularcohomology theory
Chapter-19. Derivations of properties from the axioms
Chapter-20. The Poincareduality theorem
Chapter-21. The index of manifolds;manifolds with boundary
Chapter-22. Homology,cohomology, and K(π,n)s
Chapter-23. Characteristic classes of vector bundles
Chapter-24.A introduction to K-theory
Chapter-25. A introduction to cobordism
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