I am asked whether $X=\{(x,y,z)|x^2+y^2−z^2=1\}\subset \mathbb{R^3}$,is path connected or not.
i just know that $X$ is a closed subset.how can i answer this question?
is there any hint?
i asked a similar question,but that answer couldn't be generalized to this case.
thank you very much.