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