A beta family in the homotopy of spheres

DOI10.1090/S0002-9939-2014-12009-0zbMath1310.55008MaRDI QIDQ3189596

Katsumi Shimomura

Publication date: 12 September 2014

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

zbMATH Keywords

homotopy groupsbeta elements

Mathematics Subject Classification ID

Stable homotopy of spheres (55Q45) (v_n)-periodicity (55Q51)

Related Items (1)

Detecting 𝛽 elements in iterated algebraic K-theory

Cites Work

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• The beta elements \(\beta_{tp^2/r}\) in the homotopy of spheres
• A new family in the stable homotopy groups of spheres. II
• Realizing some cyclic \(BP_*\)-modules and applications to stable homotopy of spheres
• Periodic phenomena in the Adams-Novikov spectral sequence
• DERIVATIONS IN RING SPECTRA AND HIGHER TORSIONS IN Coker J
• Note on beta elements in homotopy, and an application to the prime three case
• On Realizing Complex Bordism Modules II: Applications to the Stable Homotopy Groups of Spheres
• A new family in the stable homotopy groups of spheres

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