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Invariants for Effective Homotopy Classification and Extension of Mappings
 
P. Olum
Invariants for Effective Homotopy Classification and Extension of Mappings
eBook ISBN:  978-0-8218-9980-9
Product Code:  MEMO/1/37.E
List Price: $24.00
MAA Member Price: $21.60
AMS Member Price: $19.20
Add to cart
Invariants for Effective Homotopy Classification and Extension of Mappings
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Invariants for Effective Homotopy Classification and Extension of Mappings
P. Olum
eBook ISBN:  978-0-8218-9980-9
Product Code:  MEMO/1/37.E
List Price: $24.00
MAA Member Price: $21.60
AMS Member Price: $19.20
Add to cart
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 1; 1961; 69 pp
    MSC: Primary 55
  • Table of Contents
     
     
    • Chapters
    • Part I. Introduction and preliminaries
    • 1. Introduction
    • 2. Eilenberg-MacLane groups and cohomology operations
    • 3. Cohomology operations for the case of the second obstruction
    • 4. Binary cohomology operations
    • Part II. Invariants for the extension problem
    • 5. The first level of invariants
    • 6. The second level of invariants
    • 7. The main extension theorems
    • 8. A special case and the retraction theorem
    • Part III. Invariants for the homotopy problem
    • 9. The first level: Difference homomorphisms
    • 10. The second level and the homotopy theorems
    • Part IV. Properties of the extension invariant
    • 11. General properties
    • 12. Comparison formula
    • 13. Coset structure and formula
    • Part V. Properties of the homotopy invariant
    • 14. General properties
    • 15. Addition formula and its consequences; formula for $\Lambda _ {f, f}$
    • 16. An application
    • 17. Appendix 1: More general definition of the invariants
    • 18. Appendix 2: Some homological information
    • 19. Appendix 3: Mapping cylinders
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Memoirs of the American Mathematical Society
Volume: 1; 1961; 69 pp
MSC: Primary 55
  • Chapters
  • Part I. Introduction and preliminaries
  • 1. Introduction
  • 2. Eilenberg-MacLane groups and cohomology operations
  • 3. Cohomology operations for the case of the second obstruction
  • 4. Binary cohomology operations
  • Part II. Invariants for the extension problem
  • 5. The first level of invariants
  • 6. The second level of invariants
  • 7. The main extension theorems
  • 8. A special case and the retraction theorem
  • Part III. Invariants for the homotopy problem
  • 9. The first level: Difference homomorphisms
  • 10. The second level and the homotopy theorems
  • Part IV. Properties of the extension invariant
  • 11. General properties
  • 12. Comparison formula
  • 13. Coset structure and formula
  • Part V. Properties of the homotopy invariant
  • 14. General properties
  • 15. Addition formula and its consequences; formula for $\Lambda _ {f, f}$
  • 16. An application
  • 17. Appendix 1: More general definition of the invariants
  • 18. Appendix 2: Some homological information
  • 19. Appendix 3: Mapping cylinders
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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