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Diamond for trees Cardinal Invariants square principles stationary hitting Microscopic Approach Jonsson cardinal Weakly compact cardinal PFA free Souslin tree Nonspecial tree Constructible Universe Strong coloring Chang's conjecture unbounded function sap HOD Chromatic number Shelah's Strong Hypothesis Precaliber Erdos-Hajnal graphs Filter reflection countably metacompact Generalized descriptive set theory Reflecting stationary set Rado's conjecture Prevalent singular cardinals Singular cardinals combinatorics Sierpinski's onto mapping principle Commutative cancellative semigroups Absoluteness tensor product graph Uniformization Souslin Tree Almost-disjoint family Amenable C-sequence SNR diamond star Knaster and friends Kurepa Hypothesis Aronszajn tree Hereditarily Lindelöf space Martin's Axiom Ostaszewski square Generalized Clubs C-sequence weak square Club Guessing Forcing Open Access higher Baire space Non-saturation Diamond Antichain Almost Souslin Singular Density Whitehead Problem middle diamond Fat stationary set reflection principles Dushnik-Miller projective Boolean algebra Subtle cardinal L-space positive partition relation Cardinal function Subadditive Universal Sequences square Strongly Luzin set Foundations AIM forcing indecomposable ultrafilter Intersection model Forcing Axioms club_AD Successor of Regular Cardinal Prikry-type forcing ZFC construction xbox P-Ideal Dichotomy ccc Almost countably chromatic Subnormal ideal Postprocessing function weak diamond Ineffable cardinal stick Knaster nonmeager set stationary reflection regressive Souslin tree Greatly Mahlo Hindman's Theorem Axiom R Parameterized proxy principle transformations Poset Ulam matrix Hedetniemi's conjecture Well-behaved magma Iterated forcing Was Ulam right Small forcing Minimal Walks Selective Ultrafilter Lipschitz reduction polarized partition relation Respecting tree Local Club Condensation. b-scale full tree Subtle tree property GMA super-Souslin tree strongly bounded groups free Boolean algebra incompactness Fodor-type reflection Reduced Power Ramsey theory over partitions Analytic sets Erdos Cardinal Distributive tree O-space Square-Brackets Partition Relations Slim tree Vanishing levels Luzin set Large Cardinals Diamond-sharp Strongly compact cardinal Rock n' Roll Singular cofinality 54G20 OCA Partition Relations Fast club Rainbow sets Ascent Path Uniformly coherent Countryman line Sigma-Prikry Sakurai's Bell inequality approachability ideal Commutative projection system Mandelbrot set coloring number PFA(S)[S] very good scale Coherent tree Successor of Singular Cardinal Dowker space Closed coloring Cohen real S-Space Uniformly homogeneous specializable Souslin tree weak Kurepa tree
Tag Archives: Coherent tree
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
A microscopic approach to Souslin-tree constructions. Part I
Joint work with Ari Meir Brodsky. Abstract. We propose a parameterized proxy principle from which $\kappa$-Souslin trees with various additional features can be constructed, regardless of the identity of $\kappa$. We then introduce the microscopic approach, which is a simple … Continue reading
Posted in Publications, Souslin Hypothesis
Tagged 03E05, 03E35, 03E65, 05C05, Coherent tree, Diamond, Microscopic Approach, Parameterized proxy principle, Slim tree, Souslin Tree, square, xbox
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