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