Timeline for Is there a common name for the complement of a metric space in its completion?
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5 events
| when toggle format | what | by | license | comment | |
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| Apr 21, 2010 at 19:50 | comment | added | valeri | yes, usually they are (I am not sure about all) compactifications. | |
| Apr 21, 2010 at 17:59 | comment | added | François G. Dorais | I don't know all of these, but I thought that these were compactifications. Are any of them metric completions? | |
| Apr 21, 2010 at 16:30 | comment | added | valeri | I believe, "ideal boundary" pretty much common - see ideal boundaries of Hadamard manifolds (Tits boundary, Gromov ideal boundary etc, there are also ideal boundaries of horofunctions, Buseman functions, distance-like functions); or equivalent notions from the geometric group theory. Also there are some "functional" ideal boundaries usualy called corona (spaces) - Martin boundary, Furstenberg boundary, etc. Stone-Cech compactification adds the biggest, in some sense, corona space. I am not sure about references, may be start with wik en.wikipedia.org/wiki/Compactification_(mathematics) | |
| Apr 21, 2010 at 15:17 | comment | added | François G. Dorais | Interesting. Do you have references for these terms? | |
| Apr 21, 2010 at 15:11 | history | answered | valeri | CC BY-SA 2.5 |