Timeline for Topological spaces that resemble the space of irrationals
Current License: CC BY-SA 4.0
6 events
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| Oct 17, 2021 at 23:26 | history | edited | LSpice | CC BY-SA 4.0 |
TeX while this is on the front page
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| Aug 7, 2010 at 18:56 | comment | added | Daniel Asimov | It's also amusing that given n, the complement of any countable dense subset of R^n is homeomorphic to the complement of any other such. | |
| Aug 1, 2010 at 9:09 | comment | added | Henno Brandsma | It's more for those who want pure topological properties. Metrisable refers to an external object R, and some like this less as a property. I don't really care either way, now that we have a complete characterisation of metrisability since the fifties. | |
| Jul 31, 2010 at 8:45 | comment | added | Pete L. Clark | I guess your comment about replacing metrizable by regular (Hausdorff) second countable is just for those who don't know Urysohn's Metrization Theorem? | |
| Jul 31, 2010 at 8:44 | comment | added | Pete L. Clark | Neat. In particular, for any $p$, the rationals endowed with the $p$-adic metric are homeomorphic to the rationals endowed with the Euclidean metric. (This came up in an offhand way in an answer I gave here some months ago. In a comment, I sketched an argument that is certainly more complicated than this.) | |
| Jul 31, 2010 at 6:17 | history | answered | Henno Brandsma | CC BY-SA 2.5 |