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Greatly Mahlo Ostaszewski square Generalized descriptive set theory square principles C-sequence Constructible Universe Diamond-sharp stationary hitting free Boolean algebra Prevalent singular cardinals Rock n' Roll higher Baire space transformations Ascending path Slim tree Strong coloring SNR Cardinal function positive partition relation Knaster and friends Almost countably chromatic Jonsson cardinal Subadditive Absoluteness Club Guessing Mandelbrot set Luzin set Sierpinski's onto mapping principle Partition Relations Partition relations for trees Successor of Singular Cardinal Singular cardinals combinatorics Countryman line Sakurai's Bell inequality Knaster sap Cohen real strongly bounded groups incompactness Uniformization middle diamond free Souslin tree Minimal Walks Large Cardinals Chang's conjecture Singular cofinality Intersection model Poset Aronszajn tree Ascent Path Diamond for trees Iterated forcing Fodor-type reflection specializable Souslin tree Forcing Parameterized proxy principle weak square Shelah's Strong Hypothesis Weakly compact cardinal PFA weak diamond Distributive tree Hindman's Theorem Filter reflection Universal Sequences regressive Souslin tree Martin's Axiom projective Boolean algebra OCA Subtle cardinal Well-behaved magma Diamond Sigma-Prikry Amenable C-sequence Forcing with side conditions Selective Ultrafilter Whitehead Problem tensor product graph Square-Brackets Partition Relations Ineffable cardinal approachability ideal b-scale Cardinal Invariants polarized partition relation club_AD nonmeager set AIM forcing Uniformly homogeneous countably metacompact Commutative projection system Rainbow sets Postprocessing function Prikry-type forcing Dushnik-Miller Hedetniemi's conjecture Dowker space Microscopic Approach Vanishing levels ZFC construction Ramsey theory over partitions Foundations Entangled linear order Hereditarily Lindelöf space Almost-disjoint family very good scale Analytic sets Was Ulam right? indecomposable filter Subnormal ideal coloring number Generalized Clubs Precaliber Ulam matrix Almost Souslin P-Ideal Dichotomy Non-saturation Monotonically far Nonspecial tree Souslin Tree ccc GMA Uniformly coherent Strongly Luzin set unbounded function Closed coloring Subtle tree property O-space Reflecting stationary set diamond star Axiom R Erdos-Hajnal graphs Strongly compact cardinal 54G20 HOD reflection principles Reduced Power Open Access full tree perfectly normal Chromatic number Respecting tree Successor of Regular Cardinal Antichain Singular Density super-Souslin tree Lipschitz reduction xbox square Interval topology on trees Fast club Rado's conjecture Local Club Condensation. PFA(S)[S] weak Kurepa tree Fat stationary set Coherent tree S-Space Kurepa Hypothesis Small forcing Erdos Cardinal stick Forcing Axioms stationary reflection Commutative cancellative semigroups L-space
Tag Archives: Dowker space
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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MFO workshop in Set Theory, January 2022
I gave an invited talk at the Set Theory meeting in Obwerwolfach, January 2022. Talk Title: A dual of Juhasz’ question Abstract: Juhasz asked whether $\clubsuit$ implies the existence of a Souslin tree. Here we settle the dual problem of … Continue reading
Posted in Invited Talks
Tagged club_AD, Dowker space
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