𝐸(2)-invertible spectra smashing with the Smith-Toda spectrum 𝑉(1) at the prime 3

DOI10.1090/S0002-9939-04-07387-3zbMath1051.55007OpenAlexW1567846348MaRDI QIDQ4813738

Ippei Ichigi, Katsumi Shimomura

Publication date: 13 August 2004

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-04-07387-3

zbMATH Keywords

Bousfield localizations with respect to the Johnson-Wilson spectrum

Mathematics Subject Classification ID

Homotopy groups (55Q99) Stable homotopy of spheres (55Q45) (v_n)-periodicity (55Q51)

Related Items (2)

The Brown-Comenetz dual of the \(K(2)\)-local sphere at the prime 3 ⋮ On Hopkins’ Picard groups for the prime 3 and chromatic level 2

Cites Work

• Periodic phenomena in the Adams-Novikov spectral sequence
• On the action of \(\beta_1\) in the stable homotopy of spheres at the prime 3
• The homotopy groups \(\pi_*(L_2 S^0)\) at the prime 3
• The homotopy groups of the \(L_2\)-localized mod 3 Moore spectrum
• Algebra of stable homotopy of \(Z_ p\)-spaces and applications
• NOTE ON THE β-FAMILY IN STABLE HOMOTOPY OF SPHERES AT THE PRIME 3
• The homotopy groups of the 𝐿₂-localized Toda-Smith spectrum 𝑉(1) at the prime 3
• Invertible Spectra in the E (n )-Local Stable Homotopy Category
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