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