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The Unstable Adams Spectral Sequence for Free Iterated Loop Spaces
eBook ISBN:  9781470406653 
Product Code:  MEMO/36/258.E 
List Price:  $28.00 
MAA Member Price:  $25.20 
AMS Member Price:  $16.80 
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The Unstable Adams Spectral Sequence for Free Iterated Loop Spaces
eBook ISBN:  9781470406653 
Product Code:  MEMO/36/258.E 
List Price:  $28.00 
MAA Member Price:  $25.20 
AMS Member Price:  $16.80 

Book DetailsMemoirs of the American Mathematical SocietyVolume: 36; 1982; 225 ppMSC: Primary 55

Table of Contents

Chapters

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 DyerLashof 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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Chapters

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 DyerLashof 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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