Geodesic
Complete pairs of coanalytic sets
Jean Saint Raymond1
1 Analyse Fonctionnelle Institut de Mathématique de Jussieu Boîte 186 4, place Jussieu 75252 Paris Cedex 05, France
Fundamenta Mathematicae, Tome 194 (2007) no. 3, pp. 267-281

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 $C_0$ and $C_1$ be disjoint coanalytic subsets of $X$. The pair $(C_0, C_1)$ is said to be complete if for every pair $(D_0,D_1)$ of disjoint coanalytic subsets of $\omega^\omega$ there exists a continuous function $f:\omega^\omega \to X$ such that $f^{-1}( C_0) = D_0$ and $ f^{-1}( C_1) = D_1$. We give several explicit examples of complete pairs of coanalytic sets.
DOI : 10.4064/fm194-3-4
Keywords: polish space disjoint coanalytic subsets nbsp pair said complete every pair disjoint coanalytic subsets omega omega there exists continuous function omega omega several explicit examples complete pairs coanalytic sets

Jean Saint Raymond 1

1 Analyse Fonctionnelle Institut de Mathématique de Jussieu Boîte 186 4, place Jussieu 75252 Paris Cedex 05, France 
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Jean Saint Raymond. Complete pairs of coanalytic sets. Fundamenta Mathematicae, Tome 194 (2007) no. 3, pp. 267-281. doi: 10.4064/fm194-3-4

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