| Description |
1 online resource (97 pages) |
| Series |
Memoirs of the American Mathematical Society, 1947-6221 ; v. 74 |
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Memoirs of the American Mathematical Society ; no. 74. 0065-9266
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| Contents |
1. Introduction Part I. Some basic results 2. Summary of results of the previous paper 3. The structure of $\textrm {Tor}_n̂R(M, N)$ as a module over the Steenrod algebra 4. Statement of the main theorem 5. The structure of the module $M(\xi)$ 6. Proof of Proposition 4.2 7. Naturality properties 8. Product of two fibre bundles 9. Behavior under the suspension homomorphism Part II. Two-stage Postnikov systems 10. $\lambda $-modules 11. Application of the theory of $\lambda $-modules to fibre spaces 12. Application to 2-stage Postnikov systems with stable $k$-invariants 13. The functor $\Omega $ 14. The structure of the algebra $R$ and the module $M(\xi)$ in the case of a stable 2-stage Postnikov system 15. Simplification of the extension problem under hypotheses (i)-(vii) 16. Re-interpretation of the results of Sec. 15 in the case of 2-stage Postnikov systems with stable mod 2 $k$-invariant 17. Naturality of the fundamental sequence 18. The product of two Postnikov systems 19. Effect of the suspension homomorphism 20. Utilization of the $H$-space structure 21. Examples 22. The Noetherian property of unstable $A$-modules Part III. The unstable Adams spectral sequence 23. The main results of Part III 24. Unstable projective resolutions 25. Adams-Postnikov systems 26. The spectral sequence 27. Convergence statements 28. Appendix |
| Bibliography |
Includes bibliographical references |
| Notes |
English |
|
Print version record |
| Subject |
Homology theory.
|
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Fiber spaces (Mathematics)
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Fiber spaces (Mathematics)
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Homology theory
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| Form |
Electronic book
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| Author |
Peterson, Franklin P
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| ISBN |
9781470400224 |
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1470400227 |
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