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The mod 2 cohomology structure of certain fibre spaces / [electronic resource] by W.S. Massey and F.P. Peterson.

By: Contributor(s): Material type: TextTextSeries: Memoirs of the American Mathematical Society ; no. 74.Publication details: Providence, R.I. : American Mathematical Society, 1967.Description: 1 online resource (97 p.)ISBN:
  • 9781470400224 (online)
Subject(s): Additional physical formats: mod 2 cohomology structure of certain fibre spaces /LOC classification:
  • QA3 .A57 no. 74
Online resources:
Contents:
1. Introduction Part I. Some basic results 2. Summary of results of the previous paper 3. The structure of $\textrm {Tor}_n^R(M,N)$ 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
Item type: E-BOOKS
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Includes bibliographical references.

1. Introduction Part I. Some basic results 2. Summary of results of the previous paper 3. The structure of $\textrm {Tor}_n^R(M,N)$ 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

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

Mode of access : World Wide Web

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