Timeline for Inequalities for upper semi-continuous affine functions on compact sets by using extreme points
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 11, 2020 at 19:45 | vote | accept | Mark Roelands | ||
| Feb 11, 2020 at 18:00 | comment | added | Mark Roelands | @erz Yes, of course. This is Corollary I.1.4 in "Compact convex sets and boundary integrals" by E. M. Alfsen. | |
| Feb 11, 2020 at 14:58 | answer | added | erz | timeline score: 2 | |
| Feb 11, 2020 at 14:58 | comment | added | erz | could you please provide a reference? I've made an answer based on this fact. | |
| Feb 11, 2020 at 7:55 | comment | added | Mark Roelands | @erz Yes, such an upper semi-continuous affine function on a convex compact Hausdorff space $K$ is the pointwise limit of a decreasing net of continuous affine functions on $K$. | |
| Feb 11, 2020 at 5:59 | comment | added | erz | In a Tychonoff space an upper semi-continuous function is a pointwise infinum of a collection of continuous functions. Perhaps an upper semi-continuous affine function is a pointwise infinum of a collection of continuous affine functions? | |
| Feb 7, 2020 at 15:30 | history | asked | Mark Roelands | CC BY-SA 4.0 |