The Baire classification of strongly separately continuous functions on ℓ_∞

2017/08/27 by Olena Karlova, Karlova, Olena, Tomáš Visnyai +1
Computer Science · Mathematics · #Advanced Banach Space Theory #Advanced Topology and Set Theory #Computability, Logic, AI Algorithms #FOS: Mathematics #General Topology (math.GN)

paper · pdf · doi:10.48550/arxiv.1708.08128

openalex publication_date 2017/08/27 · openalex created_date 2017/09/15 · openalex updated_date 2026/07/28

Abstract

We prove that for any α∈[0,ω₁) there exists a strongly separately continuous function f:ℓ_∞→ [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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