✦ LIBER ✦
Simplexes of Measures with Closed Extreme Boundary and Presentability of Hausdorff Spaces
✍ Scribed by Gerhard Winkler
- Publisher
- John Wiley and Sons
- Year
- 1990
- Tongue
- English
- Weight
- 604 KB
- Volume
- 146
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
✦ Synopsis
Abstract
We consider closed bounded Choquet simplexes of tight measures on Hausdorff spaces. If the extreme boundary is closed, then each element is the barycenter of a uniquely determined tight probability measure on the extreme points. Consequently, on Hausdorff spaces tight exchangeable measures can uniquely be decomposed into product measures.