Geodesic
Selivanovski hard sets are hard
Janusz Pawlikowski1
1 Department of Mathematics University of Wrocław Pl. Grunwaldzki 2/4 50-384 Wrocław, Poland
Fundamenta Mathematicae, Tome 228 (2015) no. 1, pp. 17-25.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Let $H\subseteq Z\subseteq 2^{\omega }$. For $n\ge 2$, we prove that if Selivanovski measurable functions from $2^{\omega }$ to $Z$ give as preimages of $H$ all $\boldsymbol {\Sigma }_{n}^{1}$ subsets of $2^{\omega }$, then so do continuous injections.
DOI : 10.4064/fm228-1-2
Keywords: subseteq subseteq omega prove selivanovski measurable functions omega preimages boldsymbol sigma subsets omega continuous injections

Janusz Pawlikowski 1

1 Department of Mathematics University of Wrocław Pl. Grunwaldzki 2/4 50-384 Wrocław, Poland 
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Janusz Pawlikowski. Selivanovski hard sets are hard. Fundamenta Mathematicae, Tome 228 (2015) no. 1, pp. 17-25. doi : 10.4064/fm228-1-2. http://geodesic.mathdoc.fr/articles/10.4064/fm228-1-2/

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