This is an announcement for the paper "Preserving affine Baire classes by perfect affine maps" by Ondrej F.K. Kalenda and Jiri Spurny.

Abstract: Let $\varphi\colon X\to Y$ be an affine continuous surjection between compact convex sets. Suppose that the canonical copy of the space of real-valued affine continuous functions on $Y$ in the space of real-valued affine continuous functions on $X$ is complemented. We show that if $F$ is a topological vector space, then $f\colon Y\to F$ is of affine Baire class $\alpha$ whenever the composition $f\circ\varphi$ is of affine Baire class $\alpha$. This abstract result is applied to extend known results on affine Baire classes of strongly affine Baire mappings.

Archive classification: math.FA

Mathematics Subject Classification: 46A55, 26A21, 54H05

Remarks: 10 pages

Submitted from: kalenda@karlin.mff.cuni.cz

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1501.05118

or

http://arXiv.org/abs/1501.05118