- The proper forcing axiom, Prikry forcing, and the singular cardinals hypothesis.Justin Tatch Moore - 2006 - Annals of Pure and Applied Logic 140 (1):128-132.details
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μ-clubs of P(λ): Paradise in heaven.Pierre Matet - 2025 - Annals of Pure and Applied Logic 176 (1):103497.details
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Compactness and guessing principles in the Radin extensions.Omer Ben-Neria & Jing Zhang - 2023 - Journal of Mathematical Logic 23 (2).details
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Identity crisis between supercompactness and vǒpenka’s principle.Yair Hayut, Menachem Magidor & Alejandro Poveda - 2022 - Journal of Symbolic Logic 87 (2):626-648.details
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Knaster and friends II: The C-sequence number.Chris Lambie-Hanson & Assaf Rinot - 2020 - Journal of Mathematical Logic 21 (1):2150002.details
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Weak squares and very good scales.Maxwell Levine - 2018 - Journal of Symbolic Logic 83 (1):1-12.details
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Simultaneous stationary reflection and square sequences.Yair Hayut & Chris Lambie-Hanson - 2017 - Journal of Mathematical Logic 17 (2):1750010.details
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Aronszajn trees, square principles, and stationary reflection.Chris Lambie-Hanson - 2017 - Mathematical Logic Quarterly 63 (3-4):265-281.details
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$$I_0$$ and combinatorics at $$\lambda ^+$$.Nam Trang & Xianghui Shi - 2017 - Archive for Mathematical Logic 56 (1):131-154.details
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(1 other version)Conjectures of Rado and Chang and special Aronszajn trees.Stevo Todorčević & Víctor Torres Pérez - 2012 - Mathematical Logic Quarterly 58 (4):342-347.details
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Fragments of Martin's Maximum in generic extensions.Y. Yoshinobu & B. Konig - 2004 - Mathematical Logic Quarterly 50 (3):297.details
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The secret life of μ-clubs.Pierre Matet - 2022 - Annals of Pure and Applied Logic 173 (9):103162.details
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Two‐cardinal diamond star.Pierre Matet - 2014 - Mathematical Logic Quarterly 60 (4-5):246-265.details
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Towers and clubs.Pierre Matet - 2021 - Archive for Mathematical Logic 60 (6):683-719.details
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Some Problems in Singular Cardinals Combinatorics.Matthew Foreman - 2005 - Notre Dame Journal of Formal Logic 46 (3):309-322.details
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Piece selection and cardinal arithmetic.Pierre Matet - 2022 - Mathematical Logic Quarterly 68 (4):416-446.details
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Game ideals.Pierre Matet - 2009 - Annals of Pure and Applied Logic 158 (1-2):23-39.details
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Guessing more sets.Pierre Matet - 2015 - Annals of Pure and Applied Logic 166 (10):953-990.details
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A partition property of a mixed type for P~k(Lambda).Pierre Matet - 2003 - Mathematical Logic Quarterly 49 (6):615.details
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The semi-weak square principle.Maxwell Levine - 2019 - Annals of Pure and Applied Logic 170 (11):102713.details
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Closure properties of measurable ultrapowers.Philipp Lücke & Sandra Müller - 2021 - Journal of Symbolic Logic 86 (2):762-784.details
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Squares and covering matrices.Chris Lambie-Hanson - 2014 - Annals of Pure and Applied Logic 165 (2):673-694.details
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Separating weak partial square principles.John Krueger & Ernest Schimmerling - 2014 - Annals of Pure and Applied Logic 165 (2):609-619.details
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Global square and mutual stationarity at the ℵn.Peter Koepke & Philip D. Welch - 2011 - Annals of Pure and Applied Logic 162 (10):787-806.details
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The Bristol model: An abyss called a Cohen real.Asaf Karagila - 2018 - Journal of Mathematical Logic 18 (2):1850008.details
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Notes on Singular Cardinal Combinatorics.James Cummings - 2005 - Notre Dame Journal of Formal Logic 46 (3):251-282.details
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More Notions of Forcing Add a Souslin Tree.Ari Meir Brodsky & Assaf Rinot - 2019 - Notre Dame Journal of Formal Logic 60 (3):437-455.details
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Stationary reflection.Yair Hayut & Spencer Unger - 2020 - Journal of Symbolic Logic 85 (3):937-959.details
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Diagonal reflections on squares.Gunter Fuchs - 2019 - Archive for Mathematical Logic 58 (1-2):1-26.details
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A microscopic approach to Souslin-tree constructions, Part I.Ari Meir Brodsky & Assaf Rinot - 2017 - Annals of Pure and Applied Logic 168 (11):1949-2007.details
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Club stationary reflection and other combinatorial principles at ℵ+2.Thomas Gilton & Šárka Stejskalová - forthcoming - Annals of Pure and Applied Logic.details
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Separating diagonal stationary reflection principles.Gunter Fuchs & Chris Lambie-Hanson - 2021 - Journal of Symbolic Logic 86 (1):262-292.details
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A Reflection Principle As a Reverse-mathematical Fixed Point over the Base Theory ZFC.Sakaé Fuchino - 2017 - Annals of the Japan Association for Philosophy of Science 25:67-77.details
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The Nonabsoluteness of Model Existence in Uncountable Cardinals for $L{omega{1},omega}$.Sy-David Friedman, Tapani Hyttinen & Martin Koerwien - 2013 - Notre Dame Journal of Formal Logic 54 (2):137-151.details
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The Club Guessing Ideal: Commentary on a Theorem of Gitik and Shelah.Matthew Foreman & Peter Komjath - 2005 - Journal of Mathematical Logic 5 (1):99-147.details
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Local saturation and square everywhere.Monroe Eskew - 2020 - Journal of Mathematical Logic 20 (3):2050019.details
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A Question about Suslin Trees and the Weak Square Hierarchy.Ernest Schimmerling - 2005 - Notre Dame Journal of Formal Logic 46 (3):373-374.details
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Club-guessing, stationary reflection, and coloring theorems.Todd Eisworth - 2010 - Annals of Pure and Applied Logic 161 (10):1216-1243.details
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Combinatorics at ℵ ω.Dima Sinapova & Spencer Unger - 2014 - Annals of Pure and Applied Logic 165 (4):996-1007.details
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Failures of SCH and Level by Level Equivalence.Arthur W. Apter - 2006 - Archive for Mathematical Logic 45 (7):831-838.details
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Forcing with finite conditions.Gregor Dolinar & Mirna Džamonja - 2013 - Annals of Pure and Applied Logic 164 (1):49-64.details
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Canonical structure in the universe of set theory: Part two.James Cummings, Matthew Foreman & Menachem Magidor - 2006 - Annals of Pure and Applied Logic 142 (1):55-75.details
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Canonical structure in the universe of set theory: part one.James Cummings, Matthew Foreman & Menachem Magidor - 2004 - Annals of Pure and Applied Logic 129 (1-3):211-243.details
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More on the Preservation of Large Cardinals Under Class Forcing.Joan Bagaria & Alejandro Poveda - 2023 - Journal of Symbolic Logic 88 (1):290-323.details
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Tight stationarity and tree-like scales.William Chen - 2015 - Annals of Pure and Applied Logic 166 (10):1019-1036.details
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Large cardinals need not be large in HOD.Yong Cheng, Sy-David Friedman & Joel David Hamkins - 2015 - Annals of Pure and Applied Logic 166 (11):1186-1198.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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We prove covering theorems for K, where K is the core model below the sharp for a strong cardinal, and give an application to stationary set reflection.David Asperó, John Krueger & Yasuo Yoshinobu - 2010 - Annals of Pure and Applied Logic 161 (1):94-108.details
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Dense non-reflection for stationary collections of countable sets.David Asperó, John Krueger & Yasuo Yoshinobu - 2010 - Annals of Pure and Applied Logic 161 (1):94-108.details
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The least strongly compact can be the least strong and indestructible.Arthur W. Apter - 2006 - Annals of Pure and Applied Logic 144 (1-3):33-42.details
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