Hatcher 2.1.3

Hatcher, Algebraic Topology, Chapter 2, Section 1

3. Construct a \Delta-complex structure on \mathbb{R}P^n as a quotient of a \Delta-complex structure on S^n having vertices the two vectors of length 1 along each coordinate axis in \mathbb{R}^{n+1}.
Proof.

\square

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