Invariants for effective homotopy classification and extension of mappings / by Paul Olum.

Format:

Book

Author/Creator:

Olum, Paul, author.

Series:

Memoirs of the American Mathematical Society ; no. 37.

Memoirs of the American Mathematical Society ; number 37

Language:

English

Subjects (All):

Algebraic topology.

Invariants.

Physical Description:

1 online resource (74 p.)

Other Title:

Homotopy classification and extension of mappings

Place of Publication:

Providence : American Mathematical Society, 1961.

Language Note:

English

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 Î?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""; ""BIBLIOGRAPHY""

Notes:

Cover title.

Bibliography: pages 68-69.

Description based on print version record.

ISBN:

0-8218-9980-5