On Toda's fibrations

DOI10.1017/S0305004100062836zbMath0572.55013OpenAlexW2072666849MaRDI QIDQ3689884

Brayton Gray

Publication date: 1985

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004100062836

zbMATH Keywords

Hopf invariantDyer-Lashof mapp-localized fibrationToda fibration

Mathematics Subject Classification ID

Localization and completion in homotopy theory (55P60) Loop spaces (55P35) Fiber spaces in algebraic topology (55R05) Hopf invariants (55Q25)

Related Items (9)

The odd primary $H$-structure of low rank Lie groups and its application to exponents ⋮ Co-H-maps to spheres ⋮ Anick's space and Hopf invariants ⋮ A new proof of the odd primary homotopy exponent of spheres ⋮ \(\Omega\)SU(3) splits after four suspensions, but not two ⋮ A conjecture of Gray and the 𝑝-th power map on Ω²𝑆^{2𝑛𝑝+1} ⋮ On decompositions in homotopy theory ⋮ Equivalence of Toda-Hopf invariants ⋮ Homology and some homotopy decompositions for the James filtration on spheres

Cites Work

• A spectral sequence concerning the double suspension
• Cohomologie modulo 2 des complexes d'Eilenberg-MacLane
• On the Homotopy Groups of Mapping Cones

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