On a Freedman's problem
Czesław Ryll-Nardzewski (1965)
Fundamenta Mathematicae
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Czesław Ryll-Nardzewski (1965)
Fundamenta Mathematicae
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Ireneusz Recław (1989)
Fundamenta Mathematicae
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J. Malitz, Jan Mycielski, W. Reinhardt (1992)
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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R. Purves (1966)
Fundamenta Mathematicae
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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.
Ponomarev, V.
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Saharon Shelah (1999)
Fundamenta Mathematicae
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For a cardinal μ we give a sufficient condition (involving ranks measuring existence of independent sets) for: if a Borel set B ⊆ ℝ × ℝ contains a μ-square (i.e. a set of the form A × A with |A| =μ) then it contains a -square and even a perfect square, and also for if has a model of cardinality μ then it has a model of cardinality continuum generated in a “nice”, “absolute” way. Assuming for transparency, those three conditions (, and ) are equivalent, and from this we...