Timeline for Choquet theory and Hilbert's fourth problem
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
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| Nov 21, 2021 at 12:12 | comment | added | Pietro Majer | Thank you! :) - | |
| Nov 18, 2021 at 17:34 | comment | added | alvarezpaiva | Dear Pietro, sorry, I completely forgot to get back to you on this. You are right, these metrics (type II) are indecomposable metrics, and not just on the cone of projective metrics, but also on the whole metric cone. Your argument above proves that these are all "cut metrics" that are both projective and indecomposable (Deza and Laurent's terminology). I haven't been able to find other indecomposable projective metrics. | |
| Feb 5, 2016 at 17:59 | comment | added | alvarezpaiva | Let me think about this and I'll get back to you soon. | |
| Jan 27, 2016 at 9:32 | history | edited | Pietro Majer | CC BY-SA 3.0 |
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| Jan 26, 2016 at 18:43 | comment | added | Pietro Majer | To complete the description of all indecomposable projective semi-distances, one should prove that they are two-values functions | |
| Jan 26, 2016 at 18:36 | history | edited | Pietro Majer | CC BY-SA 3.0 |
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| Jan 26, 2016 at 18:00 | comment | added | Pietro Majer | It seems this situation generalizes to dimension $n$, taking as $H$ the analogous union of half-spaces of decreasing dimension, each in the boundary of the previous one. | |
| Jan 26, 2016 at 17:51 | history | answered | Pietro Majer | CC BY-SA 3.0 |