Talk:Perfect space

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Is this correct? An isolated point forms itself an open set. How does that affect whether every point is a countable intersection of open sets?--Patrick 15:31, 13 June 2007 (UTC) I'm sure it's wrong. An open set is certainly a g-delta and so a discrete space has all points g-delta even though it is as far from perfect. I'll remove itA Geek Tragedy (talk) 16:27, 30 May 2008 (UTC)