Affine Baire functions on Choquet simplices
Miroslav Kačena, Jiří Spurný (2011)
Open Mathematics
Similarity:
We construct a metrizable simplex X such that for each n ɛ ℕ there exists a bounded function f on ext X of Baire class n that cannot be extended to a strongly affine function of Baire class n. We show that such an example cannot be constructed via the space of harmonic functions.