Periodic Phenomena in the Classical Adams Spectral Sequence

DOI10.2307/2000595zbMath0625.55016OpenAlexW4236975301MaRDI QIDQ3027919

Paul Shick, Mark E. Mahowald

Publication date: 1987

Full work available at URL: https://doi.org/10.2307/2000595

zbMATH Keywords

Adams spectral sequencechromatic filtrationBrown-Peterson homology\(v_ i\)-periodicity\(v_ i\)-torsionHopf subalgebra of the Steenrod algebraperiodicity phenomena for the \(E_ 2\)-term

Mathematics Subject Classification ID

Generalized (extraordinary) homology and cohomology theories in algebraic topology (55N20) Steenrod algebra (55S10) Adams spectral sequences (55T15) Operations in homotopy groups (55Q35) Stable homotopy of spheres (55Q45)

Related Items (7)

Factoring 2\(^{k}\) on stunted projective spectra and the root invariant ⋮ \(\nu_n\) telescopes and the Adams spectral sequence ⋮ The Tate spectrum \(v_ n\)-periodic complex oriented theories ⋮ The motivic Mahowald invariant ⋮ Root invariants in the Adams spectral sequence ⋮ Odd Primary Periodic Phenomena in the Classical Adams Spectral Sequence ⋮ \(\mathrm{tmf}\)-based Mahowald invariants

Cites Work

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• A generalization of the lambda algebra
• Torsion in Brown-Peterson homology and Hurewicz homomorphisms
• The primary \(v_ 2-\)periodic family
• Periodic phenomena in the Adams-Novikov spectral sequence
• Cohomology of sub-Hopf-algebras of the Steenrod algebra
• On the groups \(J(X)\). IV
• A spectrum whose \(Z_ p\) cohomology is the algebra of reduced \(p\)-th powers
• The cohomology of Massey-Peterson algebras
• On the cohomology of the Steenrod algebra
• Cohomology Operations (AM-50)
• The Cohomology Algebras of Finite Dimensional Hopf Algebras
• v 1 - and v 2 -Periodicity in Stable Homotopy Theory
• On Formal Groups and Singularities in Complex Corbordism Theory.

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