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The Unstable Adams Spectral Sequence for Free Iterated Loop Spaces
 
The Unstable Adams Spectral Sequence for Free Iterated Loop Spaces
eBook ISBN:  978-1-4704-0665-3
Product Code:  MEMO/36/258.E
List Price: $28.00
MAA Member Price: $25.20
AMS Member Price: $16.80
The Unstable Adams Spectral Sequence for Free Iterated Loop Spaces
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The Unstable Adams Spectral Sequence for Free Iterated Loop Spaces
eBook ISBN:  978-1-4704-0665-3
Product Code:  MEMO/36/258.E
List Price: $28.00
MAA Member Price: $25.20
AMS Member Price: $16.80
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 361982; 225 pp
    MSC: 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 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 $\Omega _0\Sigma X$
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 361982; 225 pp
MSC: Primary 55;
  • 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 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 $\Omega _0\Sigma X$
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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