A class of 2-local finite spectra which admit a \(v_2^1\)-self-map

DOI10.1016/j.aim.2019.106895zbMath1468.55005arXiv1608.06250OpenAlexW2987367670MaRDI QIDQ2281327

Prasit Bhattacharya, Philip Egger

Publication date: 19 December 2019

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.06250

zbMATH Keywords

stable homotopy\(v_2\)-periodicity

Mathematics Subject Classification ID

Stable homotopy theory, spectra (55P42)

Related Items (7)

Towards the \(K(2)\)-local homotopy groups of \(Z\) ⋮ On realizations of the subalgebra 𝒜^{ℝ}(1) of the ℝ-motivic Steenrod algebra ⋮ The topological modular forms of RP2$\mathbb {R}P^2$ and RP2∧CP2$\mathbb {R}P^2 \wedge \mathbb {C}P^2$ ⋮ The telescope conjecture at height 2 and the tmf resolution ⋮ Higher chromatic Thom spectra via unstable homotopy theory ⋮ The stable Adams conjecture and higher associative structures on Moore spectra ⋮ \(\mathrm{tmf}\)-based Mahowald invariants

Cites Work

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• The Smith-Toda complex \(V((p + 1)/2)\) does not exist
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• Finite complexes with A(n)-free cohomology
• Connected Morava K-theories
• bo-resolutions
• The image of J in the EHP sequence
• Bordism, stable homotopy and Adams spectral sequences
• On the groups \(J(X)\). IV
• On the cohomology of the Steenrod algebra
• On spectra realizing exterior parts of the Steenrod algebra
• Some Generalized Brown-Gitler Spectra
• v 1 - and v 2 -Periodicity in Stable Homotopy Theory
• Realizability of modules over Tate cohomology
• Nilpotence and stable homotopy theory. II
• Modules over the Steenrod algebra

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