Timeline for Is every locally compactly generated space compactly generated?
Current License: CC BY-SA 3.0
5 events
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| Dec 6, 2015 at 18:48 | comment | added | Tim Campion | On the other hand, this paper appears to show that the larger category is not cartesian closed, which was one of the main motivations for this whole business in the first place. Also, I find it striking reading Isbell's introduction that he seems to have wanted a sober example but couldn't find one. For example, this means that he wasn't able to find a ring R for which he could show that Spec R is not (compact Hausdorff)ly generated. I wonder whether this is known... | |
| Sep 11, 2015 at 7:02 | comment | added | David J. Green | @Greg: I'm no expert, but 1) aesthetics: the cartesian product in the locally compactly generated case is closer to the usual one; 2) economy: if you were rebuilding the theory from scratch then the locally compactly generated approach involves less work. | |
| Sep 11, 2015 at 4:37 | comment | added | Greg Friedman | This is a straightforward answer, but I'm just curious about the ramifications. Are there interesting things one can do is this larger category that couldn't be done in the smaller one? | |
| Sep 10, 2015 at 15:48 | vote | accept | David J. Green | ||
| Sep 10, 2015 at 14:33 | history | answered | Yonatan Harpaz | CC BY-SA 3.0 |