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HOW CAN WE RECOGNIZE POTENTIALLY SUBSETS OF THE PLANE?

DOMINIQUE LECOMTE

Université Paris 6, Institut de Mathématiques de Jussieu, Projet Analyse Fonctionnelle, Couloir 16-26, 4ème étage, Case 247 4, Place Jussieu, 75 252 Paris Cedex 05, France

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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https://doi.org/10.1142/S0219061309000793Cited by:4 (Source: Crossref)

Abstract

Let ξ ≥ 1 be a countable ordinal. We study the Borel subsets of the plane that can be made by refining the Polish topology on the real line. These sets are called potentially . We give a Hurewicz-like test to recognize potentially sets.

Keywords:

AMSC: Primary 03E15, Secondary 54H05

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