Wellington, Robert J. <br/><br/>
Unstable Adams Spectral Sequence for Free Iterated Loop Spaces. 

 - 1st ed. 
 - 1 online resource (236 pages) 
 - Memoirs of the American Mathematical Society ;  v.36 .
 - Memoirs of the American Mathematical Society .
<br/><br/>Intro -- 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)]∑[sup(n+1)]X -- Section 1. The Homology Hopf Algebra H*Ω[sup(n+1)][sub(0)]∑[sup(n+1)]X -- Section 2. Free A-Coalgebras -- Section 3. The Cohomology Algebra H*Ω[sup(n+1)][sub(0)]∑[sup(n+1)]X, n &gt -- 0 -- Section 4. A Filtration for H*Ω[sup(n+1)][sub(0)]∑[sup(n+1)]X, n &gt -- 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)]∑[sup(n+1)]X, n &gt -- 0 -- Section 16. The E[sub(2)] term for &amp -- #937[sub(0)] -- ∑X -- BIBILIOGRAPHY -- APPENDIX. 
<br/><br/><label>ISBN: </label>9781470406653 
<br/><br/><label>Subjects--Topical Terms: </label><br/>Loop spaces.<br/>Adams spectral sequences.<br/>Homotopy groups.
<br/><br/><label>Index Terms--Genre/Form: </label><br/>Electronic books.
<br/><br/><label>LC Class. No.: </label>QA612.76 -- .W45 1982eb 
<br/><br/><label>Dewey Class. No.: </label>510 s;514/.224