Masaq Index
arXiv 2017-08-27 0 views

The Baire classification of strongly separately continuous functions on ℓ∞

Karlova, Olena · Visnyai, Tomáš

Original · EN

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/.

English translation

This paper has no Arabic translation yet. Be the first: it takes a few seconds, and the result is stored for every future reader.

Security check

Type the characters above

Up to 10 translations per person per day.