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54G20 Souslin Tree Diamond for trees Nonspecial tree Uniformly homogeneous Erdos-Hajnal graphs stick Rainbow sets Microscopic Approach Generalized Clubs higher Baire space full tree Whitehead Problem Aronszajn tree countably metacompact Reflecting stationary set free Boolean algebra Square-Brackets Partition Relations Parameterized proxy principle Club Guessing Fast club incompactness Mandelbrot set Almost Souslin Iterated forcing Dowker space Greatly Mahlo Hindman's Theorem ZFC construction Singular cofinality Forcing Chromatic number specializable Souslin tree C-sequence Axiom R stationary hitting Ineffable cardinal Subadditive Sierpinski's onto mapping principle free Souslin tree S-Space OCA Subnormal ideal Universal Sequences Well-behaved magma Constructible Universe strongly bounded groups Large Cardinals Precaliber Coherent tree Subtle tree property Ascent Path Weakly compact cardinal Foundations square L-space projective Boolean algebra Closed coloring Analytic sets Selective Ultrafilter very good scale Ulam matrix Prevalent singular cardinals weak Kurepa tree Jonsson cardinal P-Ideal Dichotomy Hedetniemi's conjecture Postprocessing function Forcing Axioms diamond star Dushnik-Miller unbounded function O-space Strong coloring Diamond Diamond-sharp Open Access Knaster and friends Martin's Axiom polarized partition relation Luzin set Ostaszewski square Ramsey theory over partitions Uniformization Sigma-Prikry super-Souslin tree SNR b-scale Erdos Cardinal Prikry-type forcing ccc reflection principles Reduced Power Non-saturation square principles Cardinal Invariants Almost-disjoint family Cardinal function Hereditarily Lindelöf space Filter reflection PFA(S)[S] xbox Chang's conjecture Slim tree Generalized descriptive set theory regressive Souslin tree Partition Relations PFA Small forcing positive partition relation coloring number tensor product graph Vanishing levels Almost countably chromatic nonmeager set Shelah's Strong Hypothesis Uniformly coherent Rock n' Roll sap AIM forcing Commutative cancellative semigroups Was Ulam right Lipschitz reduction transformations Successor of Regular Cardinal Knaster weak square Kurepa Hypothesis Singular Density Sakurai's Bell inequality approachability ideal weak diamond Strongly Luzin set Absoluteness Distributive tree Amenable C-sequence club_AD Singular cardinals combinatorics stationary reflection Fat stationary set Minimal Walks Cohen real Successor of Singular Cardinal middle diamond Local Club Condensation. Rado's conjecture Subtle cardinal HOD indecomposable ultrafilter Poset Antichain GMA Fodor-type reflection
Tag Archives: Dowker space
A new small Dowker space
Joint work with Roy Shalev and Stevo Todorcevic. Abstract. It is proved that if there exists a Luzin set, or if either the stick principle or $\diamondsuit(\mathfrak b)$ hold, then an instance of the guessing principle $\clubsuit_{AD}$ holds at the … Continue reading
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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A guessing principle from a Souslin tree, with applications to topology
Joint work with Roy Shalev. Abstract. We introduce a new combinatorial principle which we call $\clubsuit_{AD}$. This principle asserts the existence of a certain multi-ladder system with guessing and almost-disjointness features, and is shown to be sufficient for carrying out … Continue reading
Posted in Publications, Souslin Hypothesis, Topology
Tagged club_AD, Dowker space, O-space, regressive Souslin tree, S-Space, Souslin Tree, Vanishing levels
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