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Aug 9, 2011 at 11:09 vote accept dan232
Aug 8, 2011 at 23:49 comment added dan232 I used this example because is the space that appeared in my problem. I put it because it may be easier to answer the question for this particular space than the general problem. Like Paul Fabel pointed out, the question isn't easy to answer in a general context.
Aug 8, 2011 at 23:38 comment added Clinton Conley Isn't it easier to build an example by doubling a point of your favorite Polish space (e.g., the line with two origins)?
Aug 8, 2011 at 23:26 answer added Paul Fabel timeline score: 2
Aug 8, 2011 at 23:16 history edited dan232 CC BY-SA 3.0
add example
Aug 8, 2011 at 21:43 comment added Valerio Capraro do you have an example with a non Hausdorff space $X$?
Aug 8, 2011 at 21:30 history edited dan232 CC BY-SA 3.0
added 1 characters in body
Aug 8, 2011 at 20:47 history asked dan232 CC BY-SA 3.0