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