03152nam 2200601 450 991048056550332120170816143306.01-4704-0665-9(CKB)3360000000464442(EBL)3113674(SSID)ssj0000889294(PQKBManifestationID)11449092(PQKBTitleCode)TC0000889294(PQKBWorkID)10875651(PQKB)11591145(MiAaPQ)EBC3113674(PPN)195411412(EXLCZ)99336000000046444219811119h19821982 uy| 0engur|n|---|||||txtccrThe unstable Adams spectral sequence for free iterated loop spaces /Robert J. WellingtonProvidence, Rhode Island :American Mathematical Society,[1982]©19821 online resource (236 p.)Memoirs of the American Mathematical Society,0065-9266 ;number 258Description based upon print version of record.0-8218-2258-6 Bibliography: pages 194-195.""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""Memoirs of the American Mathematical Society ;no. 258.Loop spacesAdams spectral sequencesHomotopy groupsElectronic books.Loop spaces.Adams spectral sequences.Homotopy groups.510 s514/.224Wellington Robert J.1954-971791MiAaPQMiAaPQMiAaPQBOOK9910480565503321The unstable Adams spectral sequence for free iterated loop spaces2209489UNINA