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

Olena Karlova; Tom\'a\v{s} Visnyai

arxiv: 1708.08128 · v1 · pith:JBX4GJKOnew · submitted 2017-08-27 · 🧮 math.GN

The Baire classification of strongly separately continuous functions on ell_infty

Olena Karlova , Tom\'a\v{s} Visnyai This is my paper

classification 🧮 math.GN

keywords alphabaireclasscontinuousinftyseparatelystronglybelong

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We prove that for any $\alpha\in[0,\omega_1)$ there exists a strongly separately continuous function $f:\ell_\infty\to [0,1]$ such that $f$ belongs to the $(\alpha+1)$'th /$(\alpha+2)$'th/ Baire class and does not belong to the $\alpha$'th Baire class if $\alpha$ is finite /infinite/.

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The Baire classification of strongly separately continuous functions on ell_infty

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