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For questions about ring spectra (in homotopy theory).
6
votes
Accepted
Is the rank of free module spectra unique?
$\pi_0: Sp\to Ab$ is a direct sum preserving functor, and it sends $E_1$-ring spectra to rings, and modules over them to modules over them.
In particular you get a functor $\pi_0: Mod_R\to Mod_{\pi_0( …
6
votes
How does one rigorously lift a map $Sp \rightarrow Sp$ of spectra to equivariant spectra?
Let $C$ be a complete $\infty$-category.
Let $U:Fun(BC_n,C)\to C$ denote the forgetful functor, $\mathrm{CoInd}$ its right adjoint, and $(-)^{triv}$ the functor given by precomposition along $BC_n\to …