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