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