n immediate consequence of Corollary \[compatcor0\] is that the canonical maps $$\begin{aligned}   \oR\Comp(-,n)^{\nondeg} &\to& \oR\Sp(-,n)  \\        \oR\Comp(-,n)^{\nondeg} &\to&  \oR\cP(-,n)^{\nondeg}           \end{aligned}$$ are 