Wednesday, 21 August 2013

Connectedness of sets acting on topological groups...

Connectedness of sets acting on topological groups...

I come now with a topological group question. Suppose a topological group
$G$ acts on a topological space $X$. Suppose $G$ and $X/G$ are connected.
Show $X$ is connected. Me and a few friends have been pondering this one
for awhile to no avail.

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