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Results tagged with ring-spectra
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user 102519
For questions about ring spectra (in homotopy theory).
10
votes
Accepted
Two definitions of power operations --- how do they relate?
The first observation is that $U$ is representable in $CAlg(R)$ by $F(S)$ (with $F$ as in your question): $$Map_{CAlg(R)}(F(S),A) \simeq Map_{SMod}(S,A) \simeq U(A).$$
By some appropriately flowery ve …
- 11.2k
8
votes
Why did Ravenel define a ring spectrum to be flat if its smash-square splits into copies of ...
In Ravenel's green book, he says (in his discussion of the $E$-based ASS) that $E$ is flat if $\pi_*(E \wedge E)$ is a flat $E_*$ module. I suspect that for lots of the $E$'s he cares about flat will …
- 11.2k