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$$
\def\y#1#2{Y(#1,#2)} \def\RP{{\bb R}P}
\gravitateright
\Dg
&&&\RP^1 = {}& \y11 & \rInto & \y21 & \rInto & \y31 & \rInto & \y41 & \rInto & \cdots \\
&&& & & & \dTo & & \dTo & & \dTo & \\
&&\RP^2 = {}&& & & \y12 & \rInto & \y22 & \rInto & \y32 & \rInto & \cdots \\
&& && & & & & \dTo & & \dTo & \\
&\RP^3 = {}&&& & & & & \y13 & \rInto & \y23 & \rInto & \cdots \\
& &&& & & & & & & \dTo & \\
\RP^4 = {}&&&& & & & & & & \y14 & \rInto & \cdots \\
\endDg
$$
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