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