Invariants for effective homotopy classification and extension of mappings /

Bibliographic Details
Call Number:Libro Electrónico
Main Author: Olum, Paul (Author)
Format: Electronic eBook
Language:Inglés
Published: Providence : American Mathematical Society, 1961.
Series:Memoirs of the American Mathematical Society ; no. 37.
Subjects:
Algebraic topology.
Invariants.
Topologie algébrique.
Algebraic topology
Invariants
Online Access:Texto completo
Table of 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 Nf, f
  • 16. An application
  • 17. Appendix 1: More general definition of the invariants
  • 18. Appendix 2: Some homological information
  • 19. Appendix 3: Mapping Cylinders
  • BIBLIOGRAPHY.

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