The beta elements \(\beta_{tp^2/r}\) in the homotopy of spheres

DOI10.2140/agt.2010.10.2079zbMath1223.55007OpenAlexW1989871492MaRDI QIDQ600810

Katsumi Shimomura

Publication date: 2 November 2010

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

Full work available at URL: https://doi.org/10.2140/agt.2010.10.2079

zbMATH Keywords

stable homotopy groups of spheresAdams-Novikov spectral sequence

Mathematics Subject Classification ID

Adams spectral sequences (55T15) Stable homotopy groups (55Q10) Stable homotopy of spheres (55Q45)

Related Items (2)

A beta family in the homotopy of spheres ⋮ Beta families arising from a \(v_2^9\) self-map on \(S/(3, v_1^8)\)

Cites Work

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• 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
• Note on beta elements in homotopy, and an application to the prime three case
• On Realizing Complex Bordism Modules IV Applications to the Stable Homotopy Groups of Spheres
• A new family in the stable homotopy groups of spheres

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