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