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