Timeline for Is there a (standard) name for $\bar{A}\setminus A$?
Current License: CC BY-SA 3.0
13 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 15, 2013 at 18:14 | comment | added | Ostap Chervak | If space is compact you may use the word "remainder" | |
| Jan 13, 2013 at 7:13 | answer | added | practical | timeline score: 3 | |
| Jan 12, 2013 at 8:02 | answer | added | Ioannis Souldatos | timeline score: 0 | |
| Jan 11, 2013 at 16:49 | comment | added | Ioannis Souldatos | @Suvrit: I do not want to create new terminology. I just want to see if something already exists, either standard or not, so I can use it. "External limit points" sounds a good candidate too. | |
| Jan 11, 2013 at 16:48 | comment | added | Ioannis Souldatos | @Mark: "The set of closure points not in A" sounds good. I just want to see if there is a shorter name. | |
| Jan 11, 2013 at 16:45 | comment | added | Ioannis Souldatos | @Delio: In the examples that I am interested the interior of A is empty. So, $\bar{A}\setminus A$ is not equal to the boundary. | |
| Jan 11, 2013 at 15:32 | comment | added | Todd Eisworth | I had a series of papers in set-theoretic topology where sets of this form were critical to analyzing a notion of forcing, and I never came across a standard name... | |
| Jan 11, 2013 at 14:13 | answer | added | Adrien Hardy | timeline score: 1 | |
| Jan 11, 2013 at 10:02 | comment | added | Suvrit | you could call these points the: "external limit points" --- but why create new terminology unless you need to use it several times in the same paper... | |
| Jan 11, 2013 at 9:20 | comment | added | Mark Grant | How about "the set of limit points not in $A$" or "the set of closure points not in $A$"? These both sound familiar, and I can't immediately think of any other standard terminology. | |
| Jan 11, 2013 at 9:08 | comment | added | Delio Mugnolo | I would think yours is in general an ill-behaved object. Of course, if your set is additionally open, then that's exactly the definition of boundary of $A$. | |
| Jan 11, 2013 at 8:41 | comment | added | András Bátkai | Though my subject is not topology but analysis, I have never seen a standard name for it. | |
| Jan 11, 2013 at 6:55 | history | asked | Ioannis Souldatos | CC BY-SA 3.0 |