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Infinitary Combinatorics and the Axiom of Determinateness

https://doi.org/10.1007/bfb0069385
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FILTERS FOR SQUARE‐BRACKET PARTITION RELATIONS
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Some results on polarized partion relations of higher dimension
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Calculus on strong partition cardinals
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How many normal measures can ℵω1+1 carry?
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Bounding 2d functions by products of 1d functions
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The axiom of determinacy and the modern development of descriptive set theory
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Algebraische Konsequenzen des Determiniertheits-Axioms
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Some results on consecutive large cardinals II: Applications of radin forcing
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On the class of measurable cardinals without the axiom of choice
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How recent work in mathematical logic relates to the foundations of mathematics
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A barren extension
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The axiom of determinacy, strong partition properties and nonsingular measures
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Concerning stationary subsets of [λ]<κ
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The evolution of large cardinal axioms in set theory
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A strong partition cardinal above $$\varTheta $$ Θ
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Set theory and the analyst
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Successors of singular cardinals and measurability
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Thin collections of sets of projective ordinals and analogs of L
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Some results on consecutive large cardinals
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Magidor-like and radin-like forcing
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Instances of dependent choice and the measurability of ℵω + 1
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Cardinality of wellordered disjoint unions of quotients of smooth equivalence relations
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Boldface GCH below the first uncountable limit cardinal
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The Cantor function
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Large Cardinals, Determinacy and Other Topics
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Preface
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A brief history of determinacy
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“AD plus Uniformization” is equivalent to “Half ADR”
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The independence of DC from AD
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Games of countable length
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Some consistency results in ZFC using AD
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Subsets of ℵ1 constructible from a real
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AD and the uniqueness of the supercompact measures on ℘ꞷ1 (λ)
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The extender algebra and Σ21-absoluteness
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On Vaught’s conjecture
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Capacities and analytic sets
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More saturated ideals
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The fourteen Victoria Delfino problems and their status in the year 2020
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Bibliography
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Almost Everywhere Behavior of Functions According to Partition Measures
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DETERMINACY AND JÓNSSON CARDINALS INL(ℝ)
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AXIOM I0 AND HIGHER DEGREE THEORY
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ON THE CATEGORICITY OF COMPLETE SECOND-ORDER THEORIES
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Ultrapowers without the axiom of choice
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The calculus of partition sequences, changing cofinalities, and a question of Woodin
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The size of the class of countable sequences of ordinals
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Coding and anticoding of a cardinal by bounded subsets of the cardinal
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Ultrafilters Resulting from the Axiom of Determinateness
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Ordinal definability and combinatorics of equivalence relations
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More definable combinatorics around the first and second uncountable cardinals
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Bibliography
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Bibliography
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The simulation technique and its applications to infinitary combinatorics under the axiom of Blackwell determinacy
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The size of a set from the size of its countable power set
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Canonical measure assignments
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Jonsson-like partition relations and j: V → V
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Ultrafilters on spaces of partitions
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A measure representation theorem for strong partition cardinals
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A measurable cardinal with a nonwellfounded ultrapower
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Concerning ultrafilters on ultrapowers
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Large cardinal structures below ℵω
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Spector forcing
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Weak strong partition cardinals
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On the ultrafilters and ultrapowers of strong partition cardinals
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Model theory under the axiom of determinateness
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Successors of singular cardinals and measurability revisited
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AD and patterns of singular cardinals below Θ
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On the number of normal measures $\aleph_1$ and $\aleph_2$ can carry
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Inaccessibility and Subinaccessibility. In two parts. Part II
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Bounding 2D Functions by Products of 1D Functions
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Definable Combinatorics of Some Borel Equivalence Relations
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An Introduction to Combinatorics of Determinacy
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Magidor-like forcing and the cofinality of the Galvin number
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