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