1.

Record Nr.

UNINA9910480565503321

Autore

Wellington Robert J. <1954->

Titolo

The unstable Adams spectral sequence for free iterated loop spaces / / Robert J. Wellington

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , [1982]

©1982

ISBN

1-4704-0665-9

Descrizione fisica

1 online resource (236 p.)

Collana

Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 258

Disciplina

510 s

514/.224

Soggetti

Loop spaces

Adams spectral sequences

Homotopy groups

Electronic books.

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Bibliography: pages 194-195.

Nota di contenuto

""TABLE OF CONTENTS""; ""TABLES""; ""ACKNOWLEDGEMENTS""; ""INTRODUCTION: THE UNSTABLE ADAMS SPECTRAL SEQUENCE FOR FREE ITERATED LOOP SPACES""; ""PART I: THE COHOMOLOGY A-ALGEBRA H*Ω[sup(n+1)][sub(0)]â??[sup(n+1)]X""; ""Section 1. The Homology Hopf Algebra H*Ω[sup(n+1)][sub(0)]â??[sup(n+1)]X""; ""Section 2. Free A-Coalgebras""; ""Section 3. The Cohomology Algebra H*Ω[sup(n+1)][sub(0)]â??[sup(n+1)]X, n > 0""; ""Section 4. A Filtration for H*Ω[sup(n+1)][sub(0)]â??[sup(n+1)]X, n > 0""; ""Section 5. The Primitive Elements in H*Ω[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 Ω[sup(n+1)][sub(0)]â??[sup(n+1)]X, n > 0""""Section 16. The E[sub(2)] term for Ω[sub(0)]; â??X""; ""BIBILIOGRAPHY""; ""APPENDIX""