Timeline for Which topological spaces are (topological) groups?
Current License: CC BY-SA 3.0
6 events
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| Mar 20, 2013 at 14:50 | history | edited | Ramiro de la Vega | CC BY-SA 3.0 |
Made a statement more precise
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| Feb 23, 2013 at 23:08 | comment | added | Ramiro de la Vega | A first countable topological group is metrizable. A compact group is hereditarily Lindelof iff it is hereditarily separable iff it is metrizable. As for the question, I remember reading about it in some paper by Jan van Mill, but can't remember which; anyway there wasn't anything else to read about it, it was just a comment towards the end of the paper (if I remember correctly). | |
| Feb 23, 2013 at 19:10 | vote | accept | N Unnikrishnan | ||
| Feb 24, 2013 at 5:58 | |||||
| Feb 23, 2013 at 18:52 | comment | added | N Unnikrishnan | I did not in the least mean that cleft's answer gave a characterisation which we sought, when I accepted it. But the existence of homogeneous spaces with fixed point property was a really great reminder, in the least. But pardon me, how are first countability, hereditary separability and hereditary Lindeloffness related to being topological groups? Also, I shall be thankful if you tell me where to look for Kunen's question. | |
| Feb 23, 2013 at 18:39 | vote | accept | N Unnikrishnan | ||
| Feb 23, 2013 at 19:09 | |||||
| Feb 23, 2013 at 18:30 | history | answered | Ramiro de la Vega | CC BY-SA 3.0 |