Baire-class $\xi $ colorings: The first three levels

DOI10.1090/S0002-9947-2014-05876-5zbMath1316.03025arXiv1104.4860MaRDI QIDQ5400806

Dominique Lecomte, Miroslav Zelený

Publication date: 12 March 2014

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.4860

zbMATH Keywords

dichotomyBorel chromatic numberBorel rectangleBaire-class \(\xi\) coloring

Mathematics Subject Classification ID

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

Related Items (6)

Continuous 2-colorings and topological dynamics ⋮ Descriptive complexity of countable unions of Borel rectangles ⋮ The open dihypergraph dichotomy and the second level of the Borel hierarchy ⋮ Minimal definable graphs of definable chromatic number at least three ⋮ Separation of analytic sets by rectangles of low complexity ⋮ A SEPARATION RESULT FOR COUNTABLE UNIONS OF BOREL RECTANGLES

Cites Work

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• On minimal non-potentially closed subsets of the plane
• Descriptive set theory
• Borel chromatic numbers
• HOW CAN WE RECOGNIZE POTENTIALLY ${\bf\Pi}^{0}_{\xi}$ SUBSETS OF THE PLANE?
• A dichotomy characterizing analytic digraphs of uncountable Borel chromatic number in any dimension
• A Separation Theorem for ∑ 1 1 Sets

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