no. 3
Choquet simplexes whose set of extreme points is K-analytic
Annales de l'Institut Fourier, Tome 35 (1985) no. 3, pp. 195-206

We construct a Choquet simplex K whose set of extreme points T is 𝒦-analytic, but is not a 𝒦-Borel set. The set T has the surprising property of being a K σδ set in its Stone-Cech compactification. It is hence an example of a K σδ set that is not absolute.

On construit un simplexe de Choquet dont l’ensemble des points extrémaux T est 𝒦-analytique, mais n’est pas 𝒦-Borélien. L’ensemble T est un K σδ dans sa compactification de Stone-Cech. C’est donc un exemple d’ensemble K σδ qui n’est pas absolu.

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     author = {Talagrand, Michel},
     title = {Choquet simplexes whose set of extreme points is $K$-analytic},
     journal = {Annales de l'Institut Fourier},
     pages = {195--206},
     year = {1985},
     publisher = {Institut Fourier},
     address = {Grenoble},
     volume = {35},
     number = {3},
     doi = {10.5802/aif.1024},
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     zbl = {0564.46008},
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     url = {https://www.numdam.org/articles/10.5802/aif.1024/}
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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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