Hey, I need some help with part 2 of this question.

i) compute $\displaystyle \Pi_1(\Re P^2) $

I got $\displaystyle Z_2 $ for this one.

here is part 2.

ii) Describe a map $\displaystyle S^1 \rightarrow \Re P^2 $ with i* not equal to 0. Assume $\displaystyle \Pi_1 (S^1)=Z $ and $\displaystyle A \rightarrow X $ is a retraction means $\displaystyle r \cdot i = I_{da} $.

The i is suppose to be on top of the arrow, but I'm not sure how to do that with latex.

Thanks!