HOW CAN WE RECOGNIZE POTENTIALLY ${\bf\Pi}^{0}_{\xi}$ SUBSETS OF THE PLANE?

DOI10.1142/S0219061309000793zbMath1208.03050arXiv0905.4875OpenAlexW2964128385MaRDI QIDQ3583038

Dominique Lecomte

Publication date: 26 August 2010

Published in: Journal of Mathematical Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0905.4875

zbMATH Keywords

Baire classesreal linePolish topologyHurewicz's theoremBorel subsets of the plane

Mathematics Subject Classification ID

Descriptive set theory (03E15) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05)

Related Items (7)

Acyclicity and reduction ⋮ Injective tests of low complexity in the plane ⋮ Baire-class $\xi $ colorings: The first three levels ⋮ Separation of analytic sets by rectangles of low complexity ⋮ On the complexity of Borel equivalence relations with some countability property ⋮ A SEPARATION RESULT FOR COUNTABLE UNIONS OF BOREL RECTANGLES ⋮ Potential Wadge classes

Cites Work

• On minimal non-potentially closed subsets of the plane
• Descriptive set theory
• Borel equivalence relations induced by actions of the symmetric group
• Monotone inductive definitions over the continuum

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