I'm trying to find the fundamental group of the cone, and this question appear on my mind:
Since we can defined the cone as $CX=X\times I/I\times \{1\}$, what we can say about $CX$? If we know the fundamental group of $X$, what we can say about the fundamental group of $CX$? We can generalize this to any relation $\sim$ ? I saw in a pdf the author says $\pi_1(cone)=1$ what he means with that? he doesn't specify which kind of cone is. I think maybe he says the cone in $\mathbb R^3$.
I need help.
Thanks