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