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arXiv · 1708.08128

The Baire classification of strongly separately continuous functions on $\ell_\infty$

Olena Karlova·Tomáš Visnyai
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Abstract

We prove that for any $α\in[0,ω_1)$ there exists a strongly separately continuous function $f:\ell_\infty\to [0,1]$ such that $f$ belongs to the $(α+1)$'th /$(α+2)$'th/ Baire class and does not belong to the $α$'th Baire class if $α$ is finite /infinite/.

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Olena Karlova, Tomáš Visnyai. 2017-08-27. The Baire classification of strongly separately continuous functions on $\ell_\infty$. https://arxiv.org/abs/1708.08128

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