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• CommentRowNumber1.
• CommentAuthorUrs
• CommentTimeJun 11th 2017

added a quick note on the CW-structure on real projective space: here.

• CommentRowNumber2.
• CommentAuthorTodd_Trimble
• CommentTimeJun 11th 2017

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.

• CommentRowNumber3.
• CommentAuthorUrs
• CommentTimeJun 11th 2017

The complex analogue of that happens to be discussed at complex projective space, here.