For a path connected topological space $X$, the fundamental groups at two different base points are isomorphic.
Does the same hold for the monodromy group of a covering map $Y \rightarrow X$, when $X$ is path connected?
For a path connected topological space $X$, the fundamental groups at two different base points are isomorphic.
Does the same hold for the monodromy group of a covering map $Y \rightarrow X$, when $X$ is path connected?