The unstable Adams spectral sequence for free iterated loop spaces /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Wellington, Robert J., 1954- (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, Rhode Island : American Mathematical Society, [1982]
Colección:Memoirs of the American Mathematical Society ; no. 258.
Temas:
Loop spaces.
Adams spectral sequences.
Homotopy groups.
Espaces de lacets.
Suites spectrales d'Adams.
Groupes d'homotopie.
Adams spectral sequences
Homotopy groups
Loop spaces
Acceso en línea:Texto completo
Tabla de Contenidos:
  • TABLE OF CONTENTS
  • TABLES
  • ACKNOWLEDGEMENTS
  • INTRODUCTION: THE UNSTABLE ADAMS SPECTRAL SEQUENCE FOR FREE ITERATED LOOP SPACES
  • PART I: THE COHOMOLOGY A-ALGEBRA H*][sup(n+1)][sub(0)] [sup(n+1)]X
  • Section 1. The Homology Hopf Algebra H*][sup(n+1)][sub(0)] [sup(n+1)]X
  • Section 2. Free A-Coalgebras
  • Section 3. The Cohomology Algebra H*][sup(n+1)][sub(0)] [sup(n+1)]X, n> 0
  • Section 4. A Filtration for H*][sup(n+1)][sub(0)] [sup(n+1)]X, n> 0
  • Section 5. The Primitive Elements in H*][sup(n+1)][sub(0)]S[sup(n+k+1)]
  • Section 6. Lemmas and Proofs for Section 5.
  • PART II: THE DYER-LASHOF AND LAMBDA ALGEBRAS
  • Section 7. The Nishida Relations and the Lambda Algebra
  • Section 8. Lemmas and Proofs for Section 7
  • Section 9. Cochain Complexes for Unstable Ext
  • Section 10. Lemmas and Proofs for Section 9
  • Section 11. The Unstable Ext Groups of M[sub(n)]S[sup(k)]
  • Section 12. Lemmas and Proofs for Section 11
  • PART III: UNSTABLE ADAMS SPECTRAL SEQUENCES
  • Section 13. The RLCS Spectral Sequence
  • Section 14. The E[sub(2)] term for Nice Spaces
  • Section 15. The E[sub(2)] term for][sup(n+1)][sub(0)] [sup(n+1)]X, n> 0.
  • Section 16. The E[sub(2)] term for][sub(0)]
  • X
  • BIBILIOGRAPHY
  • APPENDIX.

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