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Vanilla 1.1.10 is a product of Lussumo. More Information: Documentation, Community Support.
added a quick note on the CW-structure on real projective space: here.
Another very common (and slightly different) realization is inductive, via pushouts of type
$\array{ S^{n-1} & \to & D^n \\ \mathllap{quot} \downarrow & & \downarrow \\ \mathbb{R P}^{n-1} & \hookrightarrow & \mathbb{R P}^n }$where $quot$ divides by the $\mathbb{Z}/2$-action.
The complex analogue of that happens to be discussed at complex projective space, here.
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