Invariants for effective homotopy classification and extension of mappings / [electronic resource] by Paul Olum.

By: Olum, PaulMaterial type: TextTextSeries: Memoirs of the American Mathematical Society ; no. 37.Publication details: Providence, R.I. : American Mathematical Society, 1961Description: 1 online resource (69 p.)ISBN: 9780821899809 (online)Subject(s): Invariants | Mappings (Mathematics) | Homotopy theory | Algebraic topologyAdditional physical formats: Invariants for effective homotopy classification and extension of mappings /LOC classification: QA3 | .A57 no. 37Online resources: Contents | Contents
Contents:
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
Item type: E-BOOKS
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Includes bibliographical references.

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

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Mode of access : World Wide Web

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