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