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xbox S-Space P-Ideal Dichotomy Poset PFA(S)[S] Coherent tree PFA very good scale Intersection model Diamond for trees regressive Souslin tree Slim tree Absoluteness Successor of Singular Cardinal Small forcing Club Guessing Cardinal function Partition Relations Uniformly homogeneous Weakly compact cardinal Was Ulam right? Strong coloring b-scale Singular cardinals combinatorics Martin's Axiom Dowker space full tree ZFC construction Analytic sets Generalized descriptive set theory Rainbow sets Reduced Power Souslin Tree Singular Density Ostaszewski square square Commutative projection system Strongly Luzin set Fat stationary set Respecting tree stationary reflection Fast club stationary hitting Singular cofinality Microscopic Approach Shelah's Strong Hypothesis free Boolean algebra Uniformization Whitehead Problem Foundations Ulam matrix Ineffable cardinal Ascent Path Selective Ultrafilter Precaliber weak diamond Knaster and friends Vanishing levels Cardinal Invariants Successor of Regular Cardinal projective Boolean algebra weak square Almost Souslin Universal Sequences Fodor-type reflection nonmeager set Commutative cancellative semigroups Erdos Cardinal Lipschitz reduction Forcing Parameterized proxy principle Knaster Iterated forcing free Souslin tree Greatly Mahlo tensor product graph Aronszajn tree Open Access Almost-disjoint family Luzin set sap Closed coloring middle diamond incompactness Jonsson cardinal countably metacompact Hereditarily Lindelöf space square principles Axiom R reflection principles unbounded function Strongly compact cardinal Generalized Clubs L-space 54G20 Almost countably chromatic Local Club Condensation. approachability ideal Hedetniemi's conjecture Postprocessing function Prevalent singular cardinals OCA super-Souslin tree Well-behaved magma Ramsey theory over partitions Constructible Universe Countryman line Subnormal ideal O-space Non-saturation Nonspecial tree Large Cardinals Minimal Walks Subtle cardinal SNR Diamond-sharp weak Kurepa tree Subadditive stick C-sequence Rock n' Roll Kurepa Hypothesis Rado's conjecture Reflecting stationary set Sakurai's Bell inequality strongly bounded groups Diamond ccc Hindman's Theorem Antichain club_AD Distributive tree GMA Sigma-Prikry indecomposable ultrafilter polarized partition relation transformations Erdos-Hajnal graphs specializable Souslin tree Prikry-type forcing Cohen real Filter reflection higher Baire space Dushnik-Miller Uniformly coherent Chang's conjecture Sierpinski's onto mapping principle Amenable C-sequence Chromatic number AIM forcing HOD Subtle tree property diamond star Mandelbrot set Square-Brackets Partition Relations positive partition relation coloring number Forcing Axioms
Tag Archives: sap
Knaster and friends III: Subadditive colorings
Joint work with Chris Lambie-Hanson. Abstract. We continue our study of strongly unbounded colorings, this time focusing on subadditive maps. In Part I of this series, we showed that, for many pairs of infinite cardinals
Jensen’s diamond principle and its relatives
This is chapter 6 in the book Set Theory and Its Applications (ISBN: 0821848127). Abstract: We survey some recent results on the validity of Jensen’s diamond principle at successor cardinals. We also discuss weakening of this principle such as club … Continue reading
The failure of diamond on a reflecting stationary set
Joint work with Moti Gitik. Abstract: It is shown that the failure of
A relative of the approachability ideal, diamond and non-saturation
Abstract: Let
