Sign up ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

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?

share|cite|improve this question
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 exactly what you want. – Ryan Budney Apr 4 '12 at 15:38

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.