Cover $~E \to B~$ gives a homeomorphism $~E/Aut(E) \to B~$ Let $p : E \rightarrow B$ be a cover s.t. Aut(E) acts transitively on $p^{-1}(b)$ for some fix $b \in B$. Then $E/Aut(E)$ is homeomorphic to $B$ where $Aut(E) \subset Cov(E,E)$. The problem is that I don't even understand how the map $~E/Aut(E) \to B~$ is defined, would someone please give me this definition? 

Apparently it is "clear" but I fail to see this.
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