The Axiom of Choice, the Löwenheim-Skolem Theorem and Borel models
Jerome Malitz, Jan Mycielski, William Reinhardt (1991)
Fundamenta Mathematicae
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Jerome Malitz, Jan Mycielski, William Reinhardt (1991)
Fundamenta Mathematicae
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R. Willmott (1971)
Fundamenta Mathematicae
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Ireneusz Recław (1989)
Fundamenta Mathematicae
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Žarko Mijajlović, Dragan Doder, Angelina Ilić-Stepić (2011)
Publications de l'Institut Mathématique
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Bukovský, L.
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H. Sarbadhikari (1977)
Fundamenta Mathematicae
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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.
Su Gao, Steve Jackson, Vincent Kieftenbeld (2008)
Fundamenta Mathematicae
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We consider the Borel structures on ordinals generated by their order topologies and provide a complete classification of all ordinals up to Borel isomorphism in ZFC. We also consider the same classification problem in the context of AD and give a partial answer for ordinals ≤ω₂.
B. Rao (1970)
Fundamenta Mathematicae
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R. Purves (1966)
Fundamenta Mathematicae
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