What about $GL(n,\mathbb C)$? Is it open, dense in $M(n,\mathbb C)$?
What about $GL(n,\mathbb C)$? Is it open, dense in $M(n,\mathbb C)$?
13
$\begingroup$
linear-algebra
general-topology
-
5Yes, and yes. This is a nice exercise. – 2011-01-25
-
0Too bad the question is tagged topological vector spaces. I was going to say something about the Zariski topology (much as I loathe to think of it as a topology, at the moment). – 2011-01-25