The unstable Adams spectral sequence for free iterated loop spaces / [electronic resource] Robert J. Wellington.

By: Wellington, Robert J, 1954-Material type: TextTextSeries: Memoirs of the American Mathematical Society ; v. 258Publication details: Providence, R.I. : American Mathematical Society, 1982Description: 1 online resource (viii, 225 p.)ISBN: 9781470406653 (online)Subject(s): Loop spaces | Adams spectral sequences | Homotopy groupsAdditional physical formats: unstable Adams spectral sequence for free iterated loop spaces /DDC classification: 510 s | 514/.224 LOC classification: QA3 | .A57 no. 258 | QA612.76Online resources: Contents | Contents
Contents:
Introduction Part I. The cohomology $A$-algebra $H^*\Omega _0^{n+1}\sum ^{n+1}X$ 1. The homology Hopf algebra $H^*\Omega _0^{n+1}\Sigma ^{n+1}X$ 2. Free $A$-coalgebras 3. The cohomology algebra $H^*\Omega _0^{n+1}\Sigma ^{n+1}X, n>0$ 4. A filtration for $H^*\Omega _0^{n+1}\Sigma ^{n+1}X, n>0$ 5. The primitive elements in $H^*\Omega _0^{n+1}S^{n+k+1}$ 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 $\Omega _0^{n+1}\Sigma ^{n+1}X, n>0$ 16. The $E_2$ term for $\Omega _0\Sigma X$
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Bibliography: p. 194-195.

Introduction Part I. The cohomology $A$-algebra $H^*\Omega _0^{n+1}\sum ^{n+1}X$ 1. The homology Hopf algebra $H^*\Omega _0^{n+1}\Sigma ^{n+1}X$ 2. Free $A$-coalgebras 3. The cohomology algebra $H^*\Omega _0^{n+1}\Sigma ^{n+1}X, n>0$ 4. A filtration for $H^*\Omega _0^{n+1}\Sigma ^{n+1}X, n>0$ 5. The primitive elements in $H^*\Omega _0^{n+1}S^{n+k+1}$ 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 $\Omega _0^{n+1}\Sigma ^{n+1}X, n>0$ 16. The $E_2$ term for $\Omega _0\Sigma X$

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

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