Warning 7.3.3. An \(\S [\frac {1}{p}]\)-local spectrum should not be confused with a \(p\)-local spectrum: in the former, multiplication by \(p\) is an isomorphism; in the latter, this holds for every prime other than \(p\). Moreover, unlike the prime-inversion localizations of the previous section, \(p\)-completion is not smashing in general.
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