Can anyone help me with computing this fundamental group...
Namely, I have been given a standard (closed) disk and a sphere resp., i.e. $\mathbb D^2$, $\mathbb S^1$ resp. in a complex plain $\mathbb C$.
Now, let $X$ be $X:=\mathbb D^2/\sim$ where $\sim$ stands as a relation such that $x\sim ix$ for each $x\in\mathbb S^1$.
How can I then compute fundamental group $\pi_1(X,0)$?
I have been trying to use van Kampen theorem somehow, but didn't get much of the result.