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