Timeline for Does there exist a topology for a set X which is compact and Hausdorff? [closed]
Current License: CC BY-SA 3.0
8 events
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Oct 12, 2014 at 17:04 | comment | added | Todd Trimble | @AlexanderWoo Not silly at all, although I think it's the same as the one-point compactification mentioned by Ramiro. Same applies to Peter's answer of course. | |
Apr 11, 2013 at 18:48 | history | closed |
Asaf Karagila♦ Bill Johnson Andreas Blass Martin Brandenburg Goldstern |
too localized | |
Apr 11, 2013 at 18:36 | comment | added | Alexander Woo | A silly solution: Pick one element x. Declare every finite set NOT containing x to be open. Declare the COMPLEMENT of every finite set NOT containing x to be open. This is a compact Hausdorff topology. | |
Apr 11, 2013 at 18:28 | comment | added | Zhen Lin | Crossposted at MSE: math.stackexchange.com/questions/358583/… | |
Apr 11, 2013 at 18:15 | answer | added | Peter Michor | timeline score: 2 | |
Apr 11, 2013 at 18:12 | comment | added | Ramiro de la Vega | Or one point compactifications of discrete spaces, in case you want to avoid the axiom of choice. | |
Apr 11, 2013 at 18:09 | comment | added | Goldstern | Successor ordinals. | |
Apr 11, 2013 at 18:05 | history | asked | user33024 | CC BY-SA 3.0 |