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Strongly compact cardinal Mandelbrot set Antichain Filter reflection unbounded function Uniformly homogeneous Diamond-sharp weak Kurepa tree stick Erdos Cardinal Local Club Condensation. Forcing Axioms Fodor-type reflection approachability ideal strongly bounded groups club_AD Singular Density square principles Strong coloring OCA reflection principles Subadditive Generalized descriptive set theory very good scale Forcing Selective Ultrafilter Subtle tree property higher Baire space Hindman's Theorem C-sequence Open Access SNR Fast club Cardinal function Poset Almost Souslin Axiom R GMA Precaliber Slim tree Was Ulam right PFA(S)[S] Cohen real projective Boolean algebra P-Ideal Dichotomy Almost countably chromatic diamond star Sakurai's Bell inequality Souslin Tree Closed coloring Non-saturation specializable Souslin tree Shelah's Strong Hypothesis nonmeager set Generalized Clubs stationary hitting transformations Fat stationary set countably metacompact Iterated forcing Countryman line regressive Souslin tree Weakly compact cardinal Foundations Reflecting stationary set Subnormal ideal Parameterized proxy principle 54G20 Rainbow sets Subtle cardinal Ramsey theory over partitions Strongly Luzin set sap Well-behaved magma Minimal Walks Chromatic number Analytic sets Square-Brackets Partition Relations Chang's conjecture Diamond for trees Successor of Regular Cardinal middle diamond tensor product graph b-scale Cardinal Invariants weak diamond Jonsson cardinal Singular cardinals combinatorics Vanishing levels L-space Club Guessing Diamond Prikry-type forcing Martin's Axiom Postprocessing function Singular cofinality Commutative cancellative semigroups Uniformly coherent Rado's conjecture Aronszajn tree weak square Knaster coloring number PFA Sigma-Prikry stationary reflection Knaster and friends Rock n' Roll Nonspecial tree free Souslin tree polarized partition relation Absoluteness Hedetniemi's conjecture Respecting tree Uniformization ccc Distributive tree ZFC construction Partition Relations incompactness super-Souslin tree full tree Erdos-Hajnal graphs Large Cardinals Almost-disjoint family Universal Sequences Coherent tree Commutative projection system Ascent Path Lipschitz reduction Ostaszewski square square Prevalent singular cardinals Intersection model Hereditarily Lindelöf space Ineffable cardinal O-space indecomposable ultrafilter Amenable C-sequence Greatly Mahlo HOD Successor of Singular Cardinal Microscopic Approach positive partition relation Dowker space Ulam matrix Whitehead Problem xbox Sierpinski's onto mapping principle S-Space free Boolean algebra Luzin set Reduced Power Kurepa Hypothesis Dushnik-Miller Small forcing AIM forcing Constructible Universe
Tag Archives: Vanishing levels
Walks on uncountable ordinals and non-structure theorems for higher Aronszajn lines
Joint work with Tanmay Inamdar. Abstract. It is proved that if there is an $\aleph_2$-Aronszajn line, then there is one that does not contain an $\aleph_2$-Countryman line. This solves a problem of Moore and stands in a sharp contrast with … Continue reading
The vanishing levels of a tree
Joint work with Shira Yadai and Zhixing You. Abstract. We initiate the study of the spectrum $Vspec(\kappa)$ of sets that can be realized as the vanishing levels $V(\mathbf T)$ of a normal $\kappa$-tree $\mathbf T$. The latter is an invariant in … Continue reading
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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