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11:53 AM
@EricPeterson My problem with this reference is that it does not show that the map ΣKO→KO is multiplication by eta, which for me is a huge part of the Wood fiber sequence. I guess one can deduce it from some computation of KO^*CP^2, but it would be nice to know if Wood actually stated this anywhere...
 
 
3 hours later…
3:09 PM
totally. like i said, i haven’t read the paper, but i’d readily believe that it’s missing that. dunno if there’s another wood reference that might include it — i don’t see anything promising — & i don’t know the oldest identification of the map.
could it be easier to learn that he’s building a map of KO-modules than identifying the behavior of operation on CP^∞? bc for module maps there’s only the zero map and eta
 

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