Archives
Keywords
Uniformly coherent Forcing Countryman line coloring number Cardinal Invariants Hindman's Theorem Sierpinski's onto mapping principle Chromatic number Uniformization specializable Souslin tree Generalized Clubs Foundations stick S-Space Filter reflection Hereditarily Lindelöf space unbounded function Singular cofinality free Souslin tree Subadditive Closed coloring Subtle cardinal Ulam matrix Weakly compact cardinal Iterated forcing Well-behaved magma Rock n' Roll weak square Rainbow sets Kurepa Hypothesis Forcing Axioms Prikry-type forcing Fodor-type reflection Partition relations for trees diamond star Sakurai's Bell inequality Strongly Luzin set tensor product graph xbox transformations Ascent Path Ostaszewski square Open Access positive partition relation Subnormal ideal Ramsey theory over partitions Reflecting stationary set Sigma-Prikry Local Club Condensation. Luzin set Souslin Tree Axiom R perfectly normal square principles AIM forcing Erdos Cardinal Square-Brackets Partition Relations Minimal Walks Successor of Singular Cardinal PFA(S)[S] P-Ideal Dichotomy Commutative projection system Ineffable cardinal Small forcing Analytic sets full tree Almost-disjoint family C-sequence Erdos-Hajnal graphs very good scale SNR countably metacompact Large Cardinals incompactness Dowker space weak diamond Knaster GMA Knaster and friends Lipschitz reduction Monotonically far Aronszajn tree reflection principles HOD Cardinal function Strong coloring weak Kurepa tree Greatly Mahlo Postprocessing function Ascending path polarized partition relation nonmeager set ZFC construction sap Successor of Regular Cardinal Subtle tree property Fast club Poset stationary reflection Distributive tree Singular Density Almost Souslin L-space Precaliber Whitehead Problem Commutative cancellative semigroups Fat stationary set Chang's conjecture Entangled linear order Strongly compact cardinal Hedetniemi's conjecture stationary hitting middle diamond Slim tree Reduced Power Prevalent singular cardinals approachability ideal Cohen real square Intersection model Mandelbrot set b-scale Parameterized proxy principle Jonsson cardinal Amenable C-sequence Rado's conjecture Non-saturation Uniformly homogeneous Interval topology on trees 54G20 Was Ulam right? Dushnik-Miller Microscopic Approach Almost countably chromatic super-Souslin tree Constructible Universe Nonspecial tree Absoluteness regressive Souslin tree indecomposable filter free Boolean algebra Diamond Forcing with side conditions Martin's Axiom Partition Relations Shelah's Strong Hypothesis Club Guessing Coherent tree projective Boolean algebra O-space Selective Ultrafilter strongly bounded groups higher Baire space ccc OCA Singular cardinals combinatorics Respecting tree Universal Sequences Vanishing levels Antichain Generalized descriptive set theory club_AD Diamond-sharp PFA Diamond for trees
Tag Archives: specializable Souslin tree
Proxy principles in combinatorial set theory
Joint work with Ari Meir Brodsky and Shira Yadai. Abstract. The parameterized proxy principles were introduced by Brodsky and Rinot in a 2017 paper as new foundations for the construction of $\kappa$-Souslin trees in a uniform way that does not … Continue reading
A remark on Schimmerling’s question
Joint work with Ari Meir Brodsky. Abstract. Schimmerling asked whether $\square^*_\lambda$ together with GCH entails the existence of a $\lambda^+$-Souslin tree, for a singular cardinal $\lambda$. Here, we provide an affirmative answer under the additional assumption that there exists a … Continue reading
