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