Geodesic
Hurewicz-like tests for Borel subsets of the plane
Lecomte, Dominique1
1 Université Paris 6, Equipe d’Analyse Fonctionnelle, tour 46-0, boîte 186, 4, place Jussieu, 75 252 Paris Cedex 05, France, and Université de Picardie, I.U.T. de l’Oise, site de Creil, 13, allée de la faïencerie, 60 107 Creil, France
Electronic research announcements of the American Mathematical Society, Tome 11 (2005), pp. 95-102 Cet article a éte moissonné depuis la source American Mathematical Society

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Let $\xi \geq 1$ be a countable ordinal. We study the Borel subsets of the plane that can be made $\boldsymbol \Pi ^{0}_{\xi }$ by refining the Polish topology on the real line. These sets are called potentially $\boldsymbol \Pi ^{0}_{\xi }$. We give a Hurewicz-like test to recognize potentially $\boldsymbol \Pi ^{0}_{\xi }$ sets.
DOI : 10.1090/S1079-6762-05-00152-6

Lecomte, Dominique 1

1 Université Paris 6, Equipe d’Analyse Fonctionnelle, tour 46-0, boîte 186, 4, place Jussieu, 75 252 Paris Cedex 05, France, and Université de Picardie, I.U.T. de l’Oise, site de Creil, 13, allée de la faïencerie, 60 107 Creil, France 
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Lecomte, Dominique. Hurewicz-like tests for Borel subsets of the plane. Electronic research announcements of the American Mathematical Society, Tome 11 (2005), pp. 95-102. doi: 10.1090/S1079-6762-05-00152-6

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