Unstable Towers in the Odd Primary Homotopy Groups of Spheres

DOI10.2307/1999660zbMath0569.55008OpenAlexW4234495514MaRDI QIDQ3685676

Martin Bendersky

Publication date: 1985

Full work available at URL: https://doi.org/10.2307/1999660

zbMATH Keywords

Hopf invariantsimage of JEHP sequenceunstable Novikov spectral sequencedesuspensionsexponent of sphere bundles over spheres

Mathematics Subject Classification ID

Generalized (extraordinary) homology and cohomology theories in algebraic topology (55N20) Generalized cohomology and spectral sequences in algebraic topology (55T25) Homotopy groups of spheres (55Q40) (J)-morphism (55Q50)

Cites Work

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• EHP sequences in BP theory
• Torsion free mod p H-spaces of low rank
• The double suspension and exponents of the homotopy groups of spheres
• Some calculations in the unstable Adams-Novikov spectral sequence
• Invariant regular ideals in Brown-Peterson homology
• Periodic phenomena in the Adams-Novikov spectral sequence
• The unstable Adams spectral sequence for generalized homology
• Odd primary torsion in \(\pi_k(S^3)\)
• The image of J in the EHP sequence
• A note on stunted lens space
• On iterated suspensions. I, II
• On the sphere of origin of infinite families in the homotopy groups of spheres
• Unstable families related to the image of J

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