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Prevalent singular cardinals Aronszajn tree ZFC construction Ulam matrix Local Club Condensation. Strong coloring countably metacompact Dushnik-Miller Shelah's Strong Hypothesis Amenable C-sequence Prikry-type forcing Singular Density tensor product graph free Boolean algebra Forcing Jonsson cardinal regressive Souslin tree Strongly compact cardinal Uniformization Reduced Power Fast club Diamond-sharp Uniformly homogeneous Singular cofinality Mandelbrot set Successor of Regular Cardinal Commutative cancellative semigroups Fat stationary set free Souslin tree Dowker space Knaster unbounded function full tree Luzin set PFA Erdos Cardinal Chang's conjecture Almost Souslin Iterated forcing Entangled linear order Intersection model Rainbow sets Cohen real Parameterized proxy principle Strongly Luzin set Hindman's Theorem Analytic sets OCA Weakly compact cardinal Whitehead Problem Absoluteness transformations Martin's Axiom P-Ideal Dichotomy positive partition relation Interval topology on trees Rock n' Roll Filter reflection strongly bounded groups HOD Singular cardinals combinatorics Souslin Tree Greatly Mahlo Square-Brackets Partition Relations stationary hitting Monotonically far Diamond for trees Ascent Path Chromatic number Cardinal Invariants stick nonmeager set 54G20 GMA Almost-disjoint family weak square Kurepa Hypothesis weak diamond Knaster and friends Generalized Clubs Hedetniemi's conjecture Well-behaved magma middle diamond indecomposable filter sap Commutative projection system Ostaszewski square Forcing Axioms reflection principles Uniformly coherent Lipschitz reduction Reflecting stationary set O-space Coherent tree Sierpinski's onto mapping principle Universal Sequences Subadditive Non-saturation Subtle tree property Nonspecial tree incompactness Constructible Universe Forcing with side conditions Generalized descriptive set theory projective Boolean algebra Sakurai's Bell inequality Countryman line Minimal Walks Large Cardinals Selective Ultrafilter perfectly normal square principles Subtle cardinal Axiom R higher Baire space SNR PFA(S)[S] Postprocessing function club_AD Foundations approachability ideal b-scale Precaliber Almost countably chromatic Distributive tree Vanishing levels Ineffable cardinal L-space ccc Antichain square Slim tree Erdos-Hajnal graphs stationary reflection C-sequence Was Ulam right? Ramsey theory over partitions super-Souslin tree Fodor-type reflection Subnormal ideal Partition Relations Closed coloring Small forcing Cardinal function Poset Successor of Singular Cardinal Club Guessing coloring number polarized partition relation weak Kurepa tree Open Access very good scale Hereditarily Lindelöf space AIM forcing S-Space Rado's conjecture Microscopic Approach xbox Ascending path diamond star Diamond Respecting tree Sigma-Prikry specializable Souslin tree
Tag Archives: Uniformly homogeneous
The vanishing levels of a tree
Joint work with Shira Yadai and Zhixing You. Abstract. We initiate the study of the spectrum of sets that can be realized as the vanishing levels $V(\mathbf T)$ of a normal $\kappa$-tree $\mathbf T$. This is an invariant in the … Continue reading
Posted in Preprints, Souslin Hypothesis
Tagged Almost-disjoint family, Ascent Path, C-sequence, Coherent tree, Dowker space, Open Access, Parameterized proxy principle, regressive Souslin tree, Respecting tree, Subtle tree property, Uniformly homogeneous, Vanishing levels, weak Kurepa tree
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A microscopic approach to Souslin-tree constructions. Part II
Joint work with Ari Meir Brodsky. Abstract. In Part I of this series, we presented the microscopic approach to Souslin-tree constructions, and argued that all known $\diamondsuit$-based constructions of Souslin trees with various additional properties may be rendered as applications of … Continue reading
