1
$\begingroup$

It is said that $\mathbb R P^n \to \mathbb R P^n/\mathbb R P^{n-1}$ induces isomorphism on $H_n$ when $n$ is odd. How can we prove this?

  • 1
    Compute the cellular homology groups of both, check they're isomorphic. Look at the proof that cellular homology computes singular homology and see that it implies e$x$actly what you want.2012-04-04

0 Answers 0