Currently displaying 1 – 2 of 2

Showing per page

Order by Relevance | Title | Year of publication

Products and projective limits of function spaces

Miroslav Kačena — 2008

Commentationes Mathematicae Universitatis Carolinae

We introduce a notion of a product and projective limit of function spaces. We show that the Choquet boundary of the product space is the product of Choquet boundaries. Next we show that the product of simplicial spaces is simplicial. We also show that the maximal measures on the product space are exactly those with maximal projections. We show similar characterizations of the Choquet boundary and the space of maximal measures for the projective limit of function spaces under some additional assumptions...

Affine Baire functions on Choquet simplices

Miroslav Kačena;  Jiří Spurný — 2011

Open Mathematics

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.

Page 1

Download Results (CSV)