Weakly Borel-complete topological spaces
Michael Rice, George Reynolds (1980)
Fundamenta Mathematicae
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Michael Rice, George Reynolds (1980)
Fundamenta Mathematicae
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Miloslav Duchoň (1986)
Mathematica Slovaca
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Miloslav Duchoň (1977)
Mathematica Slovaca
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Hermann Render (1995)
Czechoslovak Mathematical Journal
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Miloslav Duchoň (1986)
Mathematica Slovaca
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K. Musiał (1973)
Colloquium Mathematicae
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Verónica Becher, Pablo Ariel Heiber, Theodore A. Slaman (2014)
Fundamenta Mathematicae
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We show that the set of absolutely normal numbers is Π⁰₃-complete in the Borel hierarchy of subsets of real numbers. Similarly, the set of absolutely normal numbers is Π⁰₃-complete in the effective Borel hierarchy.
Alessandro Andretta, Donald A. Martin (2003)
Fundamenta Mathematicae
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Two sets of reals are Borel equivalent if one is the Borel pre-image of the other, and a Borel-Wadge degree is a collection of pairwise Borel equivalent subsets of ℝ. In this note we investigate the structure of Borel-Wadge degrees under the assumption of the Axiom of Determinacy.