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1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeJun 11th 2017
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   Author: Urs
   Format: MarkdownItexadded a quick note on the CW-structure on [[real projective space]]: [here](https://ncatlab.org/nlab/show/real+projective+space#CellStructure).

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

2. • CommentRowNumber2.
   • CommentAuthorTodd_Trimble
   • CommentTimeJun 11th 2017
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   Author: Todd_Trimble
   Format: MarkdownItexAnother 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.

   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.

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeJun 11th 2017
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   Author: Urs
   Format: MarkdownItexThe complex analogue of that happens to be discussed at _[[complex projective space]]_, [here](https://ncatlab.org/nlab/show/complex%20projective%20space#CellComplexStructureOnComplexProjectiveSpace).

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