Okay, so if homology is the abelianization of homotopy, what is MU? K-theory?

is there a reference for the $u_V$ "Thom classes" in equivariant homotopy theory? Most sources I've found only treat $G=C_{p^n}$ and $X=H\underline{\mathbb Z}$

@DylanWilson I realize this is irrelevant, but it cannot be that, because it doesn't act via maps of groups :)

@JohnPalmieri tyler's previously mentioned a similar theorem for K-theory chat.stackexchange.com/transcript/9417?m=19165716#19165716

i'm not aware of a theorem in this nbhd for bordism. it'd be neat to know one

@EricPeterson: thanks for the reference. That looks interesting.