## Real Analysis Exchange

### The Baire Classification of Strongly Separately Continuous Functions on $\ell_\infty$

#### Abstract

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

#### Article information

Source
Real Anal. Exchange, Volume 43, Number 2 (2018), 325-332.

Dates
First available in Project Euclid: 27 June 2018

https://projecteuclid.org/euclid.rae/1530064964

Digital Object Identifier
doi:10.14321/realanalexch.43.2.0325

Mathematical Reviews number (MathSciNet)
MR3499770

Zentralblatt MATH identifier
06924892

#### Citation

Karlova, Olena; Visnyai, Tomá\v{s}. The Baire Classification of Strongly Separately Continuous Functions on $\ell_\infty$. Real Anal. Exchange 43 (2018), no. 2, 325--332. doi:10.14321/realanalexch.43.2.0325. https://projecteuclid.org/euclid.rae/1530064964