Timeline for Is there a name for this property of a topology?
Current License: CC BY-SA 2.5
13 events
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| Mar 20, 2010 at 23:07 | comment | added | Omar Antolín-Camarena | @Charlie Frohman: could you explain your reason for disliking this question? It's a question about the correct name for a property, and you go and say it's not a research level question, which to me sounds true, but irrelevant and silly to mention (when would asking for the name of something be "research level"?). Also, you give an example class of spaces that have the property. While that is nice and may be helpful to people who didn't think of those examples, and maybe even should have been included by the OP in his question for motivation, I again fail to see how it explains your position. | |
| Mar 20, 2010 at 13:16 | answer | added | Undergrad | timeline score: -1 | |
| Mar 20, 2010 at 7:22 | answer | added | Andrej Bauer | timeline score: 2 | |
| Mar 20, 2010 at 1:43 | comment | added | Theo Johnson-Freyd | I agree with Charlie, and here's why: I don't see off hand any good reason for caring what the name of such a space is. I mean, if you have examples of some of these spaces, and some result that says that this precise property is what you need for some application, then by all means, it should have a name, and knowing the conventional name will help you look up the appropriate literature. But as it is, I'd like some motivation before I'll like the question. | |
| Mar 19, 2010 at 23:25 | comment | added | François G. Dorais | @Charlie: Are you saying that serious researchers only study T1 spaces?!? | |
| Mar 19, 2010 at 19:52 | comment | added | Vectornaut | @ Ketil Tveiten, re: Charlie Frohman's comment. For what it's worth, I think this is a fine question. I don't think the answer would be obvious to every "research-level" mathematician, although I'm only a first-year graduate student myself... | |
| Mar 19, 2010 at 17:13 | answer | added | Joel David Hamkins | timeline score: 11 | |
| Mar 19, 2010 at 17:11 | comment | added | Charlie Frohman | As stated its just not a good question. If the space is perfect, that is every point is a limit point, and points are closed, then a space will have this property. Its not a research level question. | |
| Mar 19, 2010 at 17:09 | comment | added | Tom Leinster | For what it's worth, there's no need to add "nonempty". The property always holds when U is the empty set, since you can take I to be empty. | |
| Mar 19, 2010 at 16:44 | history | edited | Ketil Tveiten | CC BY-SA 2.5 |
added 19 characters in body
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| Mar 19, 2010 at 16:43 | comment | added | Ketil Tveiten | Absolutely. Will edit to clarify. | |
| Mar 19, 2010 at 16:41 | comment | added | user2734 | Each nonempty open set? | |
| Mar 19, 2010 at 16:34 | history | asked | Ketil Tveiten | CC BY-SA 2.5 |