Talk:Complex-oriented cohomology theory

I took the liberty to correct a mistake in the computation of $$E^*(\mathbb{C}\mathbf{P}^\infty\times\mathbb{C}\mathbf{P}^\infty)$$. This is not equal to $$E^*(\mathbb{C}\mathbf{P}^\infty) \otimes_{E_*} E^*(\mathbb{C}\mathbf{P}^\infty)$$ if $E$ is not an Eilember-MacLane spectrum (and in fact the tensor product of power series rings is not the power series ring in two variables), but must be computed by a similar computation as $$E^*(\mathbb{C}\mathbf{P}^\infty)$$. You can see the details in Adams' book Stable homotopy and generalized homology. Perhaps this must be added to the references? — Preceding unsigned comment added by 95.245.242.147 (talk) 11:22, 3 January 2014 (UTC)

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