A spectral sequence concerning the double suspension

DOI10.1007/BF01393932zbMath0444.55011MaRDI QIDQ1144812

P. S. Selick

Publication date: 1981

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/142812

zbMATH Keywords

James constructiondouble suspensionfirst quadrant spectral sequencehomotopy groups of the second loop space of an odd dimensional spheremod p homology of the second loop space of an odd dimensional sphere

Mathematics Subject Classification ID

Loop spaces (55P35) Spectral sequences in algebraic topology (55T99) Homotopy groups of spheres (55Q40) Suspensions (55P40)

Related Items (11)

Co-H-maps to spheres ⋮ Anick's space and Hopf invariants ⋮ A new proof of the odd primary homotopy exponent of spheres ⋮ Universal Abelian H-spaces ⋮ Atomicity for Anick's spaces ⋮ On decompositions in homotopy theory ⋮ Equivalence of Toda-Hopf invariants ⋮ Homology and some homotopy decompositions for the James filtration on spheres ⋮ Unstable families related to the image of J ⋮ On Toda's fibrations ⋮ Properties of Selick's filtration of the double suspension E²

Cites Work

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• On the non-existence of elements of Hopf invariant one
• A reformulation of the Arf invariant one mod p problem and applications to atomic spaces
• The homology of iterated loop spaces
• Reduced product spaces
• The factorization of cyclic reduced powers by secondary cohomology operations
• Suspension Theorems and the Generalized Hopf Invariant

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