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Oct 31, 2010 at 21:10 comment added KConrad Greg, thanks for the update in the answer. I was hoping there could be an example cooked up using two non-isom. top. groups whose underlying topological spaces are homeomorphic, such as R*xR and the ax+b group over R. You showed how to do it.
Oct 29, 2010 at 18:27 history edited Greg Kuperberg CC BY-SA 2.5
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Oct 29, 2010 at 15:13 comment added KConrad I do like this example, but it raises the question of whether one can give an example without relying on AC.
Oct 29, 2010 at 6:57 comment added user5810 Also, thumbs up for not ignoring the use of AC.
Oct 29, 2010 at 6:55 vote accept CommunityBot
Oct 29, 2010 at 6:49 comment added Martin Brandenburg Nice example !
Oct 29, 2010 at 6:40 history answered Greg Kuperberg CC BY-SA 2.5