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arXiv · 1501.05118

Preserving affine Baire classes by perfect affine maps

Ondřej F. K. Kalenda·Jiří Spurný
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Abstract

Let $φ\colon X\to Y$ 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 $α$ whenever the composition $f\circφ$ is of affine Baire class $α$. This abstract result is applied to extend known results on affine Baire classes of strongly affine Baire mappings.

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Ondřej F. K. Kalenda, Jiří Spurný. 2015-01-21. Preserving affine Baire classes by perfect affine maps. https://doi.org/10.2989/16073606.2015.1073813

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