NOTE ON THE β-FAMILY IN STABLE HOMOTOPY OF SPHERES AT THE PRIME 3

DOI10.2206/KYUSHUMFS.35.367zbMath0481.55009OpenAlexW2005313258MaRDI QIDQ3938880

Shichiro Oka

Publication date: 1981

Published in: Memoirs of the Faculty of Science, Kyushu University. Series A, Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2206/kyushumfs.35.367

zbMATH Keywords

image of Jimage of the bi-stable J-homomorphismAdams filtration associated to Brown-Peterson spectrumnon-vanishing of the element beta-10 in the stable homotopy of spheres localized at 3stable homotopy of spheres localized at an odd prime

Mathematics Subject Classification ID

Localization and completion in homotopy theory (55P60) Generalized (extraordinary) homology and cohomology theories in algebraic topology (55N20) Adams spectral sequences (55T15) (J)-morphism (55Q50) Stable homotopy of spheres (55Q45)

Related Items (3)

𝐸(2)-invertible spectra smashing with the Smith-Toda spectrum 𝑉(1) at the prime 3 ⋮ Beta families arising from a \(v_2^9\) self-map on \(S/(3, v_1^8)\) ⋮ Root invariants in the Adams spectral sequence

This page was built for publication: NOTE ON THE β-FAMILY IN STABLE HOMOTOPY OF SPHERES AT THE PRIME 3