English

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

General Topology 2017-08-29 v1

Abstract

We prove that for any α[0,ω1)\alpha\in[0,\omega_1) there exists a strongly separately continuous function f:[0,1]f:\ell_\infty\to [0,1] such that ff belongs to the (α+1)(\alpha+1)'th /(α+2)(\alpha+2)'th/ Baire class and does not belong to the α\alpha'th Baire class if α\alpha is finite /infinite/.

Keywords

Cite

@article{arxiv.1708.08128,
  title  = {The Baire classification of strongly separately continuous functions on $\ell_\infty$},
  author = {Olena Karlova and Tomáš Visnyai},
  journal= {arXiv preprint arXiv:1708.08128},
  year   = {2017}
}
R2 v1 2026-06-22T21:24:40.047Z