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Invariants for Effective Homotopy Classification and Extension of Mappings
eBook ISBN:  9780821899809 
Product Code:  MEMO/1/37.E 
List Price:  $24.00 
MAA Member Price:  $21.60 
AMS Member Price:  $19.20 
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Invariants for Effective Homotopy Classification and Extension of Mappings
eBook ISBN:  9780821899809 
Product Code:  MEMO/1/37.E 
List Price:  $24.00 
MAA Member Price:  $21.60 
AMS Member Price:  $19.20 

Book DetailsMemoirs of the American Mathematical SocietyVolume: 1; 1961; 69 ppMSC: Primary 55

Table of Contents

Chapters

Part I. Introduction and preliminaries

1. Introduction

2. EilenbergMacLane 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


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Chapters

Part I. Introduction and preliminaries

1. Introduction

2. EilenbergMacLane 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
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