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skd
6:23 AM
what is the spanier-whitehead dual of the suspension spectrum of CP^infty?
 
 
3 hours later…
9:07 AM
@AaronMazel-Gee I found myself.
in the quiz, not like some kind of apiritual enlightenment lol
Apparently I'm not the only one. I'm ambivalent about being the most notorious MO eccentric…
 
 
2 hours later…
11:07 AM
@skd up to profinite completion, it's a shift of CP^∞. (this is a result of Ravenel; i'll try to remember the reference.) i don't know how dramatic that completion is, but i suspect fairly dramatic
 
11:38 AM
whew sorry that was not the right thing to say at all. one moment
well, it wasn't that far off, but anyway see Theorem 1.11.(iii) in Ravenel's The Segal Conjecture for Cyclic Groups and Its Consequnces
this is a cooler paper than i remembered. possibly i didn't read beyond this exact result
 
 
2 hours later…
skd
1:21 PM
thanks, eric. my first thought was what you initially suggested too, but it seems like the dual is huge
sw duals of infinite spectra are weird. they aren't nonzero very often, but when they are they're absurd
 
 
4 hours later…
4:56 PM
9.
Well, I don't know how that happened
So sorry about that
(I also didn't realize I could post here)
Anyway, the Kerodon project looks amazing!
 

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