Abstract
We show that there is an essential phantom map $f : K(Z, n) \to \Sigma Y$ for a suitable $n$ if $H_{i}(Y;\mathbb{Q})\neq 0$ for some $i > 0$. The localized version of this problem is also considered. The ingredient of the proof is the computation of the Morava K-theories of the Eilenberg-MacLane spaces by Ravenel and Wilson.
Citation
Kouyemon Iriye. "On phantom maps into suspension spaces." J. Math. Kyoto Univ. 43 (3) 661 - 669, 2003. https://doi.org/10.1215/kjm/1250283701
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