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fix arrow order in 5.2.17
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‎sigma.tex‎

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@@ -402,7 +402,7 @@ \section{Special divisors and the special splitting principle}\label{MSUDay}
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\begin{remark}[{\cite[Lemma 6.4]{AndoStrickland}}]\label{BSUToBU}
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We can also analyze the map \[\Spec E_0 B\SU \to \Spec E_0 BU\] in terms of these models of functions to \(\Gm\). Again, the analysis passes through a computation in connective \(K\)--theory, using the identification \[kU^*(\CP^\infty)^{\times 2} = \Z[\beta]\ps{x_1, x_2},\] where \(x_1 = \pi_1^* x\) and \(x_2 = \pi_2^* x\) are the Chern classes associated to the tautological bundle pulled back along projections to the first and second factors
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We can also analyze the map \[\Spec E_0 BU \to \Spec E_0 B\SU\] in terms of these models of functions to \(\Gm\). Again, the analysis passes through a computation in connective \(K\)--theory, using the identification \[kU^*(\CP^\infty)^{\times 2} = \Z[\beta]\ps{x_1, x_2},\] where \(x_1 = \pi_1^* x\) and \(x_2 = \pi_2^* x\) are the Chern classes associated to the tautological bundle pulled back along projections to the first and second factors
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\begin{align*}
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\pi_1\co (\CP^\infty)^{\times 2} & \to \CP^\infty \times *, &
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\pi_2\co (\CP^\infty)^{\times 2} & \to * \times \CP^\infty,

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