/sci/ - Science & Math

How to construct a cellular complex structure on complex projective space [math]\mathbb{CP}^n[/math] such that real projective space [math]\mathbb{RP}^n[/math] becomes a sub-complex? (The standard cell decompositions of these spaces won't cut it.)

There's a suggested construction on MSE 3494652, but I'm having a super hard time understanding why it works and how the attaching maps are defined.