Anick’s spaces and the double loops of odd primary Moore spaces

DOI10.1090/S0002-9947-00-02622-2zbMath0961.55013MaRDI QIDQ2701670

Stephen D. Theriault

Publication date: 19 February 2001

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Hopf invariantloop space decomposition

Mathematics Subject Classification ID

Loop spaces (55P35) Hopf invariants (55Q25)

Related Items (3)

Infinite families of higher torsion in the homotopy groups of Moore spaces ⋮ On modular cohomotopy groups ⋮ The Kahn-Priddy Theorem and the homotopy of the three-sphere

Cites Work

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• A reformulation of the Arf invariant one mod p problem and applications to atomic spaces
• On the iterated suspension
• The double suspension and exponents of the homotopy groups of spheres
• A decomposition of \(\pi^*(S^{2p+1};Z/pZ)\)
• Odd primary torsion in \(\pi_k(S^3)\)
• Torsion in homotopy groups
• Product decompositions of the double loops on odd primary Moore spaces
• Small \(H\) spaces related to Moore spaces
• Reduced product spaces
• Primary homotopy theory
• EHP Spectra and Periodicity. I: Geometric Constructions
• James-Hopf Invariants, Anick’s Spaces, and the Double Loops on Odd Primary Moore Spaces
• Properties of Anick’s spaces

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