On the iterated suspension

DOI10.1016/0040-9383(88)90011-0zbMath0668.55005OpenAlexW2060998834WikidataQ126383024 ScholiaQ126383024MaRDI QIDQ1118203

Brayton Gray

Publication date: 1988

Published in: Topology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0040-9383(88)90011-0

zbMATH Keywords

loop spaceassociative H spacefibre of the iterated suspension mapJames Hopf invariantToda Hopf invariant map

Mathematics Subject Classification ID

Loop spaces (55P35) Homotopy groups of spheres (55Q40) Suspensions (55P40)

Related Items (25)

Abelian Properties of Anick Spaces ⋮ Comparing constructions of the classifying space for the fibre of the double suspension ⋮ Anick's space and Hopf invariants ⋮ Higher chromatic Thom spectra via unstable homotopy theory ⋮ On modular cohomotopy groups ⋮ Anick’s spaces and the double loops of odd primary Moore spaces ⋮ Rank \(p - 1\) mod-\(p\) \(H\)-spaces ⋮ A new proof of the odd primary homotopy exponent of spheres ⋮ Universal Abelian H-spaces ⋮ Vector bundles on loop spaces of spheres ⋮ A combinatorial approach to the exponents of Moore spaces ⋮ New perspectives on the classifying space of the fibre of the double suspension ⋮ The Kahn-Priddy Theorem and the homotopy of the three-sphere ⋮ The $L_2$-localization of $W(n)$ ⋮ Erratum to: ``A new proof of the odd primary homotopy exponent of spheres ⋮ 2-primary factorizations of power maps through the double suspension ⋮ Atomicity for Anick's spaces ⋮ A conjecture of Gray and the 𝑝-th power map on Ω²𝑆^{2𝑛𝑝+1} ⋮ The $3$-primary classifying space of the fiber of the double suspension ⋮ On decompositions in homotopy theory ⋮ The fibre of the degree 3 map, Anick spaces and the double suspension ⋮ On generalized Whitehead products ⋮ An elementary construction of Anick's fibration ⋮ Properties of Selick's filtration of the double suspension E² ⋮ The fibre of the iterated Freudenthal suspension

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