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complex oriented cohomology theory
- A condition on a generalized cohomolology theories involving the Thom class:
Think of this as a factorization of the counit
A ring spectrum E is complex orientable iff the Atiyah Hirzebruch spectral sequence collapses at E2: Ep,q2=Hp(CP∞;πq(E))⟹Ep+q(CP∞)
Motivations