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weak Kurepa tree Knaster and friends Cardinal Invariants C-sequence polarized partition relation SNR AIM forcing Forcing Axioms Ramsey theory over partitions Strong coloring Subadditive S-Space nonmeager set Strongly Luzin set ZFC construction Ineffable cardinal Ascent Path Diamond for trees Fast club Microscopic Approach free Souslin tree Commutative cancellative semigroups Local Club Condensation. Commutative projection system Filter reflection Uniformly homogeneous regressive Souslin tree Hedetniemi's conjecture Chang's conjecture Subtle cardinal Luzin set Vanishing levels Hindman's Theorem free Boolean algebra Forcing Fat stationary set weak square Generalized Clubs O-space Respecting tree countably metacompact Square-Brackets Partition Relations sap Axiom R Diamond very good scale Dushnik-Miller Sierpinski's onto mapping principle Singular Density Strongly compact cardinal Chromatic number Distributive tree Foundations Mandelbrot set Small forcing P-Ideal Dichotomy Lipschitz reduction stick Ostaszewski square Minimal Walks indecomposable ultrafilter Greatly Mahlo Cohen real Uniformly coherent Rock n' Roll Subtle tree property Closed coloring Ulam matrix Cardinal function Almost Souslin unbounded function Whitehead Problem Aronszajn tree Absoluteness Uniformization Almost countably chromatic Prevalent singular cardinals Large Cardinals PFA(S)[S] Iterated forcing Analytic sets Dowker space specializable Souslin tree Postprocessing function coloring number Precaliber Erdos-Hajnal graphs Reflecting stationary set Selective Ultrafilter club_AD Rado's conjecture positive partition relation Slim tree L-space middle diamond super-Souslin tree projective Boolean algebra Open Access HOD Shelah's Strong Hypothesis Poset Kurepa Hypothesis Reduced Power b-scale Knaster Coherent tree square Singular cardinals combinatorics Sigma-Prikry Almost-disjoint family Subnormal ideal ccc Generalized descriptive set theory Erdos Cardinal Rainbow sets tensor product graph incompactness Constructible Universe Nonspecial tree Singular cofinality Partition Relations GMA xbox transformations Parameterized proxy principle stationary hitting 54G20 Universal Sequences Jonsson cardinal Sakurai's Bell inequality stationary reflection reflection principles Fodor-type reflection Antichain full tree Well-behaved magma Amenable C-sequence Intersection model Successor of Singular Cardinal Non-saturation diamond star square principles Prikry-type forcing Successor of Regular Cardinal OCA approachability ideal Was Ulam right Martin's Axiom Souslin Tree strongly bounded groups Weakly compact cardinal Hereditarily Lindelöf space PFA weak diamond Diamond-sharp higher Baire space Countryman line Club Guessing
Tag Archives: free 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
Reduced powers of Souslin trees
Joint work with Ari Meir Brodsky. Abstract. We study the relationship between a $\kappa$-Souslin tree $T$ and its reduced powers $T^\theta/\mathcal U$. Previous works addressed this problem from the viewpoint of a single power $\theta$, whereas here, tools are developed … Continue reading
