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Singular cardinals combinatorics Hereditarily Lindelöf space Rado's conjecture Ulam matrix square principles approachability ideal weak diamond Subnormal ideal Almost countably chromatic Subtle cardinal Lipschitz reduction Diamond Jonsson cardinal unbounded function Postprocessing function Uniformly coherent Intersection model Local Club Condensation. free Souslin tree Antichain Generalized Clubs Small forcing AIM forcing S-Space Weakly compact cardinal reflection principles Well-behaved magma Luzin set Martin's Axiom Strongly Luzin set positive partition relation Ramsey theory over partitions Almost-disjoint family Uniformly homogeneous Open Access Erdos-Hajnal graphs ccc Souslin Tree coloring number Whitehead Problem stick GMA Nonspecial tree diamond star Countryman line Sigma-Prikry Parameterized proxy principle Commutative projection system super-Souslin tree sap indecomposable ultrafilter Subtle tree property ZFC construction full tree Shelah's Strong Hypothesis Successor of Singular Cardinal Prevalent singular cardinals projective Boolean algebra Distributive tree specializable Souslin tree Foundations Reflecting stationary set Fodor-type reflection SNR Hindman's Theorem L-space Ascent Path Prikry-type forcing Reduced Power Hedetniemi's conjecture Diamond for trees Greatly Mahlo Non-saturation Aronszajn tree Knaster middle diamond stationary reflection Partition Relations xbox Closed coloring Vanishing levels polarized partition relation club_AD Axiom R nonmeager set Strong coloring Uniformization Club Guessing Sierpinski's onto mapping principle Analytic sets transformations Cardinal function Microscopic Approach Poset O-space Singular cofinality Singular Density Diamond-sharp Fast club Successor of Regular Cardinal Rainbow sets Constructible Universe Commutative cancellative semigroups Was Ulam right b-scale Universal Sequences Filter reflection Respecting tree Fat stationary set strongly bounded groups 54G20 weak square Sakurai's Bell inequality Subadditive Ineffable cardinal Large Cardinals Kurepa Hypothesis Minimal Walks Rock n' Roll higher Baire space very good scale countably metacompact Mandelbrot set Forcing weak Kurepa tree C-sequence incompactness Absoluteness Selective Ultrafilter Cardinal Invariants Erdos Cardinal free Boolean algebra PFA Coherent tree Knaster and friends Chromatic number OCA Amenable C-sequence Dushnik-Miller Dowker space P-Ideal Dichotomy Square-Brackets Partition Relations tensor product graph Almost Souslin stationary hitting Forcing Axioms Precaliber regressive Souslin tree Generalized descriptive set theory HOD Chang's conjecture square Strongly compact cardinal Slim tree Cohen real Ostaszewski square Iterated forcing PFA(S)[S]
Tag Archives: Uniformly coherent
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 $\theta < \kappa$, the existence … Continue reading
Distributive Aronszajn trees
Joint work with Ari Meir Brodsky. Abstract. Ben-David and Shelah proved that if $\lambda$ is a singular strong-limit cardinal and $2^\lambda=\lambda^+$, then $\square^*_\lambda$ entails the existence of a $\lambda$-distributive $\lambda^+$-Aronszajn tree. Here, it is proved that the same conclusion remains … Continue reading
