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