Talk:Complex-oriented cohomology theory

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I took the liberty to correct a mistake in the computation of ${\displaystyle E^{*}(\mathbb {C} \mathbf {P} ^{\infty }\times \mathbb {C} \mathbf {P} ^{\infty })}$. This is not equal to ${\displaystyle E^{*}(\mathbb {C} \mathbf {P} ^{\infty })\otimes _{E_{*}}E^{*}(\mathbb {C} \mathbf {P} ^{\infty })}$ 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 ${\displaystyle E^{*}(\mathbb {C} \mathbf {P} ^{\infty })}$. 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)[reply]

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