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