An elementary construction of Anick's fibration

DOI10.2140/gt.2010.14.243zbMath1185.55011arXiv0710.1024OpenAlexW2141554319MaRDI QIDQ1035308

Brayton Gray, Stephen D. Theriault

Publication date: 2 November 2009

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.1024

zbMATH Keywords

Moore spaceextension theorem\(H\)-spaceco-\(H\)-spaceAnick's fibration\(EHP\) sequencedouble suspension

Mathematics Subject Classification ID

(H)-spaces and duals (55P45) Loop spaces (55P35) Suspensions (55P40) Spectral sequences and homology of fiber spaces in algebraic topology (55R20) Whitehead products and generalizations (55Q15)

Related Items

Abelian Properties of Anick Spaces ⋮ Comparing constructions of the classifying space for the fibre of the double suspension ⋮ Erratum for ``An elementary construction of Anick's fibration ⋮ Anick's space and Hopf invariants ⋮ The mod-p homology of the classifying spaces of certain gauge groups ⋮ Higher chromatic Thom spectra via unstable homotopy theory ⋮ On modular cohomotopy groups ⋮ Anick spaces and Kac-Moody groups ⋮ A new proof of the odd primary homotopy exponent of spheres ⋮ Universal Abelian H-spaces ⋮ A combinatorial approach to the exponents of Moore spaces ⋮ The Kahn-Priddy Theorem and the homotopy of the three-sphere ⋮ Atomicity for Anick's spaces ⋮ A conjecture of Gray and the 𝑝-th power map on Ω²𝑆^{2𝑛𝑝+1} ⋮ The fibre of the degree 3 map, Anick spaces and the double suspension ⋮ On generalized Whitehead products ⋮ Homotopy groups of highly connected Poincaré duality complexes

Cites Work

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• On the iterated suspension
• The double suspension and exponents of the homotopy groups of spheres
• The unstable decomposition of \(\Omega^ 2 \Sigma^ 2X\) and its applications
• Torsion in homotopy groups
• Small \(H\) spaces related to Moore spaces
• A note on the Hilton-Milnor theorem
• Reduced product spaces
• 3-primary exponents
• On the Double Suspension Homomorphism
• Pull-Backs in Homotopy Theory
• EHP Spectra and Periodicity. I: Geometric Constructions
• EHP Spectra and Periodicity. II: Λ-Algebra Models
• Properties of Anick’s spaces
• The $3$-primary classifying space of the fiber of the double suspension
• On decompositions in homotopy theory