The unstable Adams spectral sequence for free iterated loop spaces
The semi-stable homotopy groups of a topological space [italic]X are the unstable homotopy groups [lowercase Greek]Pi [subscript]*[capital Greek]Sigma[superscript]n[italic]X, [italic]n [greater than symbol] 0, of the suspensions of [italic]X. This monograph is concerned with computing these semi-stable homotopy groups using the unstable Adams spectral sequence for the free iterated loop spaces [capital Greek]Omega[superscript italic]n [capital Greek]Sigma[superscript italic]n [italic]X generate…
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- Full title :The unstable Adams spectral sequence for free iterated loop spaces / by Robert J. Wellington.
Summary
The semi-stable homotopy groups of a topological space [italic]X are the unstable homotopy groups [lowercase Greek]Pi [subscript]*[capital Greek]Sigma[superscript]n[italic]X, [italic]n [greater than symbol] 0, of the suspensions of [italic]X. This monograph is concerned with computing these semi-stable homotopy groups using the unstable Adams spectral sequence for the free iterated loop spaces [capital Greek]Omega[superscript italic]n [capital Greek]Sigma[superscript italic]n [italic]X generated by [italic]X.
Read More ↓Edition Statements
- Publication Date:©1982.
Publication Statements
- Publisher(s):American mathematical Society
- Place of Publication:Providence, R.I
- Language:eng
- Publication Date:©1982.
The Physical Object
- Description:viii, 225 pages : : illustrations, tables ; : 26 cm.
Edition Identifiers
- ISBN:0821822586, 9780821822586
- oclc:ocm07998960
- LC Classification:QA3
- Dewey Decimal:510 s
Table of Contents
Introduction -- Part I. The cohomology [italic]A-algebra [italic]H*[capital Greek]Omega [superscript italic]n⁺¹[over]₀ [capital Greek]Sigma [superscript italic]n⁺¹ [italic]X -- The homology Hopf algebra [italic]H*[capital Greek]Omega [superscript italic]n⁺¹[over]₀ [capital Greek]Sigma [superscript italic]n⁺¹ [italic]X -- Free [italic]A-coalgebras -- The cohomology algebra [italic]H*[capital Greek]Omega [superscript italic]n⁺¹[over]₀ [capital Greek]Sigma [superscript italic]n⁺¹ [italic]X, [italic]n [greater than symbol] 0 -- A filtration for [italic]H*[capital Greek]Omega [superscript italic]n⁺¹[over]₀ [capital Greek]Sigma [superscript italic]n⁺¹ [italic]X, [italic]n [greater than symbol] 0 -- The primitive elements in [italic]H*[capital Greek]Omega [superscript italic]n⁺¹[over]₀ [italic]S[superscript italic]n+k⁺¹ -- Lemmas and proofs for Section 5 -- Part II. The Dyer-Lashof and lambda algebras -- The Nishida relations and the lambda algebra -- Lemmas and proofs for Section 7 -- Cochain complexes for unstable Ext -- Lemmas and proofs for Section 9 -- The unstable Ext groups of [italic]M[subscript italic]n[italic]S[superscript italic]k -- Lemmas and proofs for Section 11 -- Part II…
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