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Thursday, December 31, 2020

A Concise Course in Algebraic Topology, J. P. May

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

To get this book, Download here




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