@article{Ichigi_Shimomura_2008, title={The Modulo Two Homotopy Groups of the 𝐿₂-Localization of the Ravenel Spectrum}, volume={10}, url={https://cubo.ufro.cl/ojs/index.php/cubo/article/view/1498}, abstractNote={<p>The Ravenel spectra <em>T</em>(<em>m</em>) for non-negative integers <em>m</em> interpolate between the sphere spectrum and the Brown-Peterson spectrum. Let <em>L</em><sub>2</sub> denote the Bousfield-Ravenel localization functor with respect to <em>v<sub>2</sub></em><sup>−1</sup> <em>BP</em>. In this paper, we determine the homotopy groups <em>Ï€</em><sub>∗</sub>(<em>L</em><sub>2</sub><em>T</em>(<em>m</em>) : ℤ/2) = [<em>M</em><sub>2</sub>, <em>L</em><sub>2</sub><em>T</em>(<em>m</em>)]<sub>∗</sub> for <em>m</em> > 1, where <em>M</em><sub>2</sub> denotes the modulo two Moore spectrum.</p>}, number={3}, journal={CUBO, A Mathematical Journal}, author={Ichigi, Ippei and Shimomura, Katsumi}, year={2008}, month={Oct.}, pages={43–55} }