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May 25, 2019 at 20:48 comment added Tim Campion For reference: the relationship between n buds and X(n) is in Ravenel’s green book
Oct 31, 2013 at 15:32 comment added Justin Noel The $\Omega SU(n)$ filtration is a filtration by loop maps. Their Thom spectra inherit a product from the loop structure which you use to make their homotopy groups into a ring. You do not have this structure for $BU(n)$.
Oct 29, 2013 at 5:12 history asked Jonathan Beardsley CC BY-SA 3.0