Wellington, Robert J., 1954-

The unstable Adams spectral sequence for free iterated loop spaces / [electronic resource] Robert J. Wellington. - Providence, R.I. : American Mathematical Society, 1982. - 1 online resource (viii, 225 p.) - Memoirs of the American Mathematical Society, v. 258 0065-9266 (print); 1947-6221 (online); .

Bibliography: p. 194-195.

Introduction Part I. The cohomology $A$-algebra $H^*\Omega _0^\sum ^X$ 1. The homology Hopf algebra $H^*\Omega _0^\Sigma ^X$ 2. Free $A$-coalgebras 3. The cohomology algebra $H^*\Omega _0^\Sigma ^X, n>0$ 4. A filtration for $H^*\Omega _0^\Sigma ^X, n>0$ 5. The primitive elements in $H^*\Omega _0^S^$ 6. Lemmas and proofs for Section 5 Part II. The Dyer-Lashof and lambda algebras 7. The Nishida relations and the lambda algebra 8. Lemmas and proofs for Section 7 9. Cochain complexes for unstable Ext 10. Lemmas and proofs for Section 9 11. The unstable Ext groups of $M_nS^k$ 12. Lemmas and proofs for Section 11 Part III. Unstable Adams spectral sequences 13. The RLCS spectral sequence 14. The $E_2$ term for nice spaces 15. The $E_2$ term for $\Omega _0^\Sigma ^X, n>0$ 16. The $E_2$ term for $\Omega _0\Sigma X$

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


Mode of access : World Wide Web

9781470406653 (online)


Loop spaces.
Adams spectral sequences.
Homotopy groups.

QA3 QA612.76 / .A57 no. 258

510 s 514/.224
The Institute of Mathematical Sciences, Chennai, India

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