Comparing constructions of the classifying space for the fibre of the double suspension

DOI10.1016/j.topol.2022.108163zbMath1497.55022OpenAlexW4282556297WikidataQ114127921 ScholiaQ114127921MaRDI QIDQ2161366

Stephen D. Theriault, P. S. Selick

Publication date: 4 August 2022

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2022.108163

zbMATH Keywords

classifying spacehomotopyJames-Hopf invariantdouble suspension

Mathematics Subject Classification ID

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

Cites Work

• An elementary construction of Anick's fibration
• On the iterated suspension
• The double suspension and exponents of the homotopy groups of spheres
• The homology of iterated loop spaces
• Odd primary torsion in \(\pi_k(S^3)\)
• Torsion in homotopy groups
• Equivalence of Toda-Hopf invariants
• Small \(H\) spaces related to Moore spaces
• Reduced product spaces
• A Case When the Fiber of the Double Suspension is the Double Loops on Anick's Space
• 3-primary exponents
• New perspectives on the classifying space of the fibre of the double suspension
• Proofs of two conjectures of Gray involving the double suspension
• The fibre of the degree 3 map, Anick spaces and the double suspension
• A conjecture of Gray and the 𝑝-th power map on Ω²𝑆^{2𝑛𝑝+1}
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