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