Results 101 to 110 of about 218 (121)
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The κ-closed unbounded filter and supercpmpact cardinals
Journal of Symbolic Logic, 1981The consistency of the Axiom of Determinateness (AD) poses a somewhat problematic question for set theorists. On the one hand, many mathematicians have studied AD, and none has yet derived a contradiction. Moreover, the consequences of AD which have been proven form an extensive and beautiful theory.
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Mathematical Logic Quarterly, 2006
AbstractWe construct models for the level by level equivalence between strong compactness and supercompactness in which for κ the least supercompact cardinal and δ ≤ κ any cardinal which is either a strong cardinal or a measurable limit of strong cardinals, 2δ > δ + and δ is < 2δ supercompact.
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AbstractWe construct models for the level by level equivalence between strong compactness and supercompactness in which for κ the least supercompact cardinal and δ ≤ κ any cardinal which is either a strong cardinal or a measurable limit of strong cardinals, 2δ > δ + and δ is < 2δ supercompact.
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Determinacy implies that ℵ2 is supercompact
Israel Journal of Mathematics, 1981Howard Becker, Becker Howard
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On the least strongly compact cardinal
Israel Journal of Mathematics, 1980Arthur W Apter, Apter Arthur W
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Indestructibility and level by level equivalence and inequivalence
Mathematical Logic Quarterly, 2007Arthur W Apter
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On the consistency strength of level by level inequivalence
Archive for Mathematical Logic, 2017Arthur W Apter, Apter Arthur W
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Indestructibility and measurable cardinals with few and many measures
Archive for Mathematical Logic, 2008Arthur W Apter, Apter Arthur W
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