- The least weakly compact cardinal can be unfoldable, weakly measurable and nearly $${\theta}$$ θ -supercompact.Brent Cody, Moti Gitik, Joel David Hamkins & Jason A. Schanker - 2015 - Archive for Mathematical Logic 54 (5-6):491-510.details
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Global singularization and the failure of SCH.Radek Honzik - 2010 - Annals of Pure and Applied Logic 161 (7):895-915.details
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More on the Least Strongly Compact Cardinal.Arthur W. Apter - 1997 - Mathematical Logic Quarterly 43 (3):427-430.details
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Identity crises and strong compactness.Arthur W. Apter & James Cummings - 2000 - Journal of Symbolic Logic 65 (4):1895-1910.details
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Contributions to the Theory of Large Cardinals through the Method of Forcing.Alejandro Poveda - 2021 - Bulletin of Symbolic Logic 27 (2):221-222.details
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Strong Compactness, Square, Gch, and Woodin Cardinals.Arthur W. Apter - forthcoming - Journal of Symbolic Logic:1-9.details
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The tree property at the successor of a singular limit of measurable cardinals.Mohammad Golshani - 2018 - Archive for Mathematical Logic 57 (1-2):3-25.details
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All uncountable cardinals in the Gitik model are almost Ramsey and carry Rowbottom filters.Arthur W. Apter, Ioanna M. Dimitriou & Peter Koepke - 2016 - Mathematical Logic Quarterly 62 (3):225-231.details
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Many Normal Measures.Shimon Garti - 2014 - Notre Dame Journal of Formal Logic 55 (3):349-357.details
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The wholeness axiom and Laver sequences.Paul Corazza - 2000 - Annals of Pure and Applied Logic 105 (1-3):157-260.details
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Partial near supercompactness.Jason Aaron Schanker - 2013 - Annals of Pure and Applied Logic 164 (2):67-85.details
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Weakly measurable cardinals.Jason A. Schanker - 2011 - Mathematical Logic Quarterly 57 (3):266-280.details
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Tall cardinals.Joel D. Hamkins - 2009 - Mathematical Logic Quarterly 55 (1):68-86.details
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Universal partial indestructibility and strong compactness.Arthur W. Apter - 2005 - Mathematical Logic Quarterly 51 (5):524-531.details
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Failure of GCH and the level by level equivalence between strong compactness and supercompactness.Arthur W. Apter - 2003 - Mathematical Logic Quarterly 49 (6):587.details
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Forcing the Least Measurable to Violate GCH.Arthur W. Apter - 1999 - Mathematical Logic Quarterly 45 (4):551-560.details
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Identity crises and strong compactness III: Woodin cardinals. [REVIEW]Arthur W. Apter & Grigor Sargsyan - 2006 - Archive for Mathematical Logic 45 (3):307-322.details
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On Restrictions of Ultrafilters From Generic Extensions to Ground Models.Moti Gitik & Eyal Kaplan - 2023 - Journal of Symbolic Logic 88 (1):169-190.details
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Indestructibility when the first two measurable cardinals are strongly compact.Arthur W. Apter - 2022 - Journal of Symbolic Logic 87 (1):214-227.details
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Supercompactness and level by level equivalence are compatible with indestructibility for strong compactness.Arthur W. Apter - 2007 - Archive for Mathematical Logic 46 (3-4):155-163.details
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Diamond, square, and level by level equivalence.Arthur W. Apter - 2005 - Archive for Mathematical Logic 44 (3):387-395.details
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Indestructible strong compactness but not supercompactness.Arthur W. Apter, Moti Gitik & Grigor Sargsyan - 2012 - Annals of Pure and Applied Logic 163 (9):1237-1242.details
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Level by level inequivalence beyond measurability.Arthur W. Apter - 2011 - Archive for Mathematical Logic 50 (7-8):707-712.details
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Closed and unbounded classes and the härtig quantifier model.Philip D. Welch - 2022 - Journal of Symbolic Logic 87 (2):564-584.details
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The lottery preparation.Joel David Hamkins - 2000 - Annals of Pure and Applied Logic 101 (2-3):103-146.details
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Level by level equivalence and strong compactness.Arthur W. Apter - 2004 - Mathematical Logic Quarterly 50 (1):51.details
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On the indestructibility aspects of identity crisis.Grigor Sargsyan - 2009 - Archive for Mathematical Logic 48 (6):493-513.details
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Radin forcing and its iterations.John Krueger - 2007 - Archive for Mathematical Logic 46 (3-4):223-252.details
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Exactly controlling the non-supercompact strongly compact cardinals.Arthur W. Apter & Joel David Hamkins - 2003 - Journal of Symbolic Logic 68 (2):669-688.details
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A note on tall cardinals and level by level equivalence.Arthur W. Apter - 2016 - Mathematical Logic Quarterly 62 (1-2):128-132.details
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Patterns of compact cardinals.Arthur W. Apter - 1997 - Annals of Pure and Applied Logic 89 (2-3):101-115.details
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A Characterization of Generalized Příkrý Sequences.Gunter Fuchs - 2005 - Archive for Mathematical Logic 44 (8):935-971.details
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Forcing Magidor iteration over a core model below $${0^{\P}}$$ 0 ¶.Omer Ben-Neria - 2014 - Archive for Mathematical Logic 53 (3-4):367-384.details
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Disassociated indiscernibles.Jeffrey Scott Leaning & Omer Ben-Neria - 2014 - Mathematical Logic Quarterly 60 (6):389-402.details
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Rado’s Conjecture and its Baire version.Jing Zhang - 2019 - Journal of Mathematical Logic 20 (1):1950015.details
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Adding clubs with square.John Krueger - 2006 - Annals of Pure and Applied Logic 141 (1):1-28.details
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A note on sequences witnessing singularity, following Magidor and Sinapova.Moti Gitik - 2018 - Mathematical Logic Quarterly 64 (3):249-253.details
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The structure of the Mitchell order – II.Omer Ben-Neria - 2015 - Annals of Pure and Applied Logic 166 (12):1407-1432.details
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Σ‐algebraically compact modules and ‐compact cardinals.Jan Šaroch - 2015 - Mathematical Logic Quarterly 61 (3):196-201.details
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Strongly compact cardinals and the continuum function.Arthur W. Apter, Stamatis Dimopoulos & Toshimichi Usuba - 2021 - Annals of Pure and Applied Logic 172 (9):103013.details
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