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