The homotopy groups of the L2 -localization of a certain type one finite complex at the prime 3

Nakazawa, Yoshitaka; Shimomura, Katsumi

Nakazawa, Yoshitaka ; Shimomura, Katsumi

Fundamenta Mathematicae, Tome 154 (1997), p. 1-20 / Harvested from The Polish Digital Mathematics Library

Résumé

For the Brown-Peterson spectrum BP at the prime 3, $v_{2}$ denotes Hazewinkel’s second polynomial generator of $B P_{*}$ . Let $L_{2}$ denote the Bousfield localization functor with respect to $v_{2}^{- 1} B P$ . A typical example of type one finite spectra is the mod 3 Moore spectrum M. In this paper, we determine the homotopy groups $π_{*} (L_{2} M \land X)$ for the 8 skeleton X of BP.

Publié le : 1997-01-01

Zbl 0880.55010

EUDML-ID : urn:eudml:doc:212196

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     author = {Yoshitaka Nakazawa and Katsumi Shimomura},
     title = {The homotopy groups of the L2 -localization of a certain type one finite complex at the prime 3},
     journal = {Fundamenta Mathematicae},
     volume = {154},
     year = {1997},
     pages = {1-20},
     zbl = {0880.55010},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-fmv152i1p1bwm}
}

Nakazawa, Yoshitaka; Shimomura, Katsumi. The homotopy groups of the L2 -localization of a certain type one finite complex at the prime 3. Fundamenta Mathematicae, Tome 154 (1997) pp. 1-20. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv152i1p1bwm/

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