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