TY  - BOOK
AU  - Olum,Paul
TI  - Invariants for effective homotopy classification and extension of mappings
T2  - Memoirs of the American Mathematical Society, 
SN  - 9780821899809 (online)
AV  - QA3 .A57 no. 37
PY  - 1961///
CY  - Providence, R.I.
PB  - American Mathematical Society
KW  - Invariants
KW  - Mappings (Mathematics)
KW  - Homotopy theory
KW  - Algebraic topology
N1  - 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; Access is restricted to licensed institutions; Electronic reproduction; Providence, Rhode Island; American Mathematical Society; 2012
UR  - http://www.ams.org/memo/0037
UR  - http://dx.doi.org/10.1090/memo/0037
ER  -