Geodesic
Effective decomposition of $\sigma $-continuous Borel functions
Gabriel Debs 1
1 Analyse Fonctionnelle Institut Mathématique de Jussieu Boîte 186 4, Place Jussieu 75252 Paris Cedex 05, France
Fundamenta Mathematicae, Tome 224 (2014) no. 2, pp. 187-202 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We prove that if a $\varDelta^1_1$ function $f$ with $\varSigma^1_1$ domain $X$ is $\sigma$-continuous then one can find a $\varDelta^1_1$ covering $(A_n)_{n\in \omega}$ of $X$ such that $f_{\vert {A_n}}$ is continuous for all $n$. This is an effective version of a recent result by Pawlikowski and Sabok, generalizing an earlier result of Solecki.
DOI : 10.4064/fm224-2-4
Keywords: prove vardelta function varsigma domain sigma continuous vardelta covering omega vert continuous effective version recent result pawlikowski sabok generalizing earlier result solecki

Gabriel Debs  1

1 Analyse Fonctionnelle Institut Mathématique de Jussieu Boîte 186 4, Place Jussieu 75252 Paris Cedex 05, France 
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Gabriel Debs. Effective decomposition of $\sigma $-continuous Borel functions. Fundamenta Mathematicae, Tome 224 (2014) no. 2, pp. 187-202. doi: 10.4064/fm224-2-4

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