The homotopy groups of the $L_2$-localization of a certain type one finite complex at the prime 3

Volume 152 / 1997

Yoshitaka Nakazawa, Katsumi Shimomura Fundamenta Mathematicae 152 (1997), 1-20 DOI: 10.4064/fm_1997_152_1_1_1_20

Abstract

For the Brown-Peterson spectrum BP at the prime 3, $v_2$ denotes Hazewinkel's second polynomial generator of $BP_*$. Let $L_2$ denote the Bousfield localization functor with respect to $v_2^{-1}BP$. A typical example of type one finite spectra is the mod 3 Moore spectrum M. In this paper, we determine the homotopy groups $π_*(L_2M ∧ X)$ for the 8 skeleton X of BP.

Authors

  • Yoshitaka Nakazawa
  • Katsumi Shimomura

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