Geodesic
A $v_1$-banded vanishing line for the mod 2 Moore spectrum
Homology, homotopy, and applications, Tome 27 (2025) no. 1, pp. 29-49.

Voir la notice de l'article provenant de la source International Press of Boston

The mod 2 Moore spectrum $C(2)$ is the cofiber of the self-map $2: \mathbb{S} \rightarrow \mathbb{S}$. Building on work of Burklund, Hahn, and Senger, we prove that above a line of slope $\frac{1}{5}$, the Adams spectral sequence for $C(2)$ collapses at its $E_5$-page and characterize the surviving classes. This completes the proof of a result of Mahowald, announced in 1970, but never proven.
DOI : 10.4310/HHA.2025.v27.n1.a3
Classification : |55P42, 55Q10
Keywords: homotopy, spectrum 
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Kevin Chang. A $v_1$-banded vanishing line for the mod 2 Moore spectrum. Homology, homotopy, and applications, Tome 27 (2025) no. 1, pp. 29-49. doi : 10.4310/HHA.2025.v27.n1.a3. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2025.v27.n1.a3/

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