Geodesic
How to recognize a true $Σ^0_3$ set
Fundamenta Mathematicae, Tome 158 (1998) no. 2, pp. 181-194.

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

Let X be a Polish space, and let $(A_p)_{p∈ω}$ be a sequence of $G_δ$ hereditary subsets of K(X) (the space of compact subsets of X). We give a general criterion which allows one to decide whether $∪_{p∈ω}A _p$ is a true $∑_3^0$ subset of K(X). We apply this criterion to show that several natural families of thin sets from harmonic analysis are true $∑_3^0$.
DOI : 10.4064/fm-158-2-181-194

Etienne Matheron 1

1 
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Etienne Matheron. How to recognize a true $Σ^0_3$ set. Fundamenta Mathematicae, Tome 158 (1998) no. 2, pp. 181-194. doi : 10.4064/fm-158-2-181-194. http://geodesic.mathdoc.fr/articles/10.4064/fm-158-2-181-194/

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