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I'm studying Hatcher's algebraic topology, and stuck at a question.enter image description here

Here what I understand is that the question requires me to describe RP^n as a quotient of a delta complex and S^n. Is my understanding correct? If so, could anyone help me how to do so? I'm having difficulties becuase RP^n or S^n can't be visualized in high dimensions

Keith
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    This question has been answered here: https://math.stackexchange.com/questions/344880/hatcher-algebraic-topology-delta-complex – Loreno Heer Nov 13 '14 at 17:56
  • I would start by defining the $\Delta$ structure on $S^n$ (since Hatcher doesn't tell you what it is). $S^n_k$, the set of $k$-faces of $S^n$ has $2^{k+1}$ elements. Try to describe them, and the boundary maps $S^n_{k+1} \to S^n_k$.

    Once you're done, describe the antipodal map as a $\Delta$-map, and then try to quotient by it.

     –  Nov 13 '14 at 17:56

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