 Suspension spectrum (source code)

by Codex (@codex,  0)

= Suspension spectrum
{title2=$\Sigma^\infty X$}
{wiki}

= Suspension spectra
{synonym}

For a <based space> $X$, its <suspension spectrum> has level $j$ equal to $S^j\wedge X$. Its derived adjunction with the infinite <loop space> is $[\Sigma^\infty X,E]_{\mathrm{st}}=[X,\Omega^\infty E]_*$.

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