Amazon cover image
Image from Amazon.com
Image from Google Jackets

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
Tags from this library: No tags from this library for this title. Log in to add tags.
Star ratings
    Average rating: 0.0 (0 votes)
Holdings
Home library Call number Materials specified URL Status Date due Barcode
IMSc Library Link to resource Available EBK12527

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

Access is restricted to licensed institutions

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

Mode of access : World Wide Web

Description based on print version record.

There are no comments on this title.

to post a comment.
The Institute of Mathematical Sciences, Chennai, India