The Kahn-Priddy Theorem and the homotopy of the three-sphere

DOI10.1090/S0002-9939-2012-11337-1zbMath1262.55004MaRDI QIDQ4908287

Piotr Beben, Stephen D. Theriault

Publication date: 5 March 2013

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

zbMATH Keywords

homotopy groupthree-sphereSamelson producthomotopy of spheresmod-\(p\) homotopy theory

Mathematics Subject Classification ID

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

Related Items

Higher chromatic Thom spectra via unstable homotopy theory

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Torsion in finite \(H\)-spaces and the homotopy of the three-sphere
• An elementary construction of Anick's fibration
• Two-primary analogues of Selick's theorem and the Kahn-Priddy theorem for the 3-sphere
• On the iterated suspension
• The double suspension and exponents of the homotopy groups of spheres
• Odd primary torsion in \(\pi_k(S^3)\)
• Torsion in homotopy groups
• Small \(H\) spaces related to Moore spaces
• Reduced product spaces
• Anick’s spaces and the double loops of odd primary Moore spaces
• PROPERTIES OF CERTAIN H-SPACES
• The transfer and stable homotopy theory