Choquet simplexes whose set of extreme points is -analytic
Annales de l'Institut Fourier, Tome 35 (1985) no. 3, pp. 195-206
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We construct a Choquet simplex whose set of extreme points is -analytic, but is not a -Borel set. The set has the surprising property of being a set in its Stone-Cech compactification. It is hence an example of a set that is not absolute.
On construit un simplexe de Choquet dont l’ensemble des points extrémaux est -analytique, mais n’est pas -Borélien. L’ensemble est un dans sa compactification de Stone-Cech. C’est donc un exemple d’ensemble qui n’est pas absolu.
@article{AIF_1985__35_3_195_0,
author = {Talagrand, Michel},
title = {Choquet simplexes whose set of extreme points is $K$-analytic},
journal = {Annales de l'Institut Fourier},
pages = {195--206},
publisher = {Institut Fourier},
address = {Grenoble},
volume = {35},
number = {3},
year = {1985},
doi = {10.5802/aif.1024},
mrnumber = {87a:46022},
zbl = {0564.46008},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.5802/aif.1024/}
}
TY - JOUR AU - Talagrand, Michel TI - Choquet simplexes whose set of extreme points is $K$-analytic JO - Annales de l'Institut Fourier PY - 1985 SP - 195 EP - 206 VL - 35 IS - 3 PB - Institut Fourier PP - Grenoble UR - http://geodesic.mathdoc.fr/articles/10.5802/aif.1024/ DO - 10.5802/aif.1024 LA - en ID - AIF_1985__35_3_195_0 ER -
%0 Journal Article %A Talagrand, Michel %T Choquet simplexes whose set of extreme points is $K$-analytic %J Annales de l'Institut Fourier %D 1985 %P 195-206 %V 35 %N 3 %I Institut Fourier %C Grenoble %U http://geodesic.mathdoc.fr/articles/10.5802/aif.1024/ %R 10.5802/aif.1024 %G en %F AIF_1985__35_3_195_0
Talagrand, Michel. Choquet simplexes whose set of extreme points is $K$-analytic. Annales de l'Institut Fourier, Tome 35 (1985) no. 3, pp. 195-206. doi: 10.5802/aif.1024
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