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free Boolean algebra Mandelbrot set Reflecting stationary set Ostaszewski square Intersection model Ineffable cardinal Prikry-type forcing C-sequence approachability ideal Selective Ultrafilter Luzin set Commutative cancellative semigroups Well-behaved magma ZFC construction Filter reflection Club Guessing polarized partition relation stationary hitting Large Cardinals Rado's conjecture Sakurai's Bell inequality Small forcing Analytic sets Martin's Axiom Subadditive Singular cofinality GMA Shelah's Strong Hypothesis Singular Density Reduced Power Foundations sap Diamond Absoluteness tensor product graph AIM forcing Cohen real Almost Souslin L-space transformations Dowker space Generalized Clubs Subtle cardinal Chang's conjecture Hereditarily Lindelöf space Closed coloring Forcing Axioms indecomposable filter weak square Precaliber stationary reflection Square-Brackets Partition Relations Sierpinski's onto mapping principle Slim tree Amenable C-sequence Forcing with side conditions Successor of Singular Cardinal club_AD Axiom R diamond star Iterated forcing Strong coloring O-space Aronszajn tree ccc Poset Ascending path weak diamond Fat stationary set countably metacompact Singular cardinals combinatorics Strongly Luzin set Successor of Regular Cardinal P-Ideal Dichotomy Fodor-type reflection Non-saturation b-scale Ascent Path Fast club Uniformization unbounded function Subtle tree property Chromatic number square principles Constructible Universe PFA Was Ulam right? Postprocessing function Rainbow sets Greatly Mahlo Hindman's Theorem Knaster projective Boolean algebra Local Club Condensation. regressive Souslin tree perfectly normal Almost-disjoint family Whitehead Problem Diamond-sharp higher Baire space HOD Generalized descriptive set theory S-Space Subnormal ideal Uniformly coherent Cardinal Invariants Diamond for trees Erdos Cardinal full tree Countryman line Prevalent singular cardinals Forcing very good scale Weakly compact cardinal Parameterized proxy principle Sigma-Prikry Commutative projection system Hedetniemi's conjecture positive partition relation Nonspecial tree Distributive tree Vanishing levels Ramsey theory over partitions Erdos-Hajnal graphs Minimal Walks coloring number strongly bounded groups Antichain square xbox Kurepa Hypothesis super-Souslin tree Respecting tree incompactness Almost countably chromatic Partition Relations Knaster and friends nonmeager set Coherent tree Universal Sequences PFA(S)[S] Entangled linear order Strongly compact cardinal specializable Souslin tree Dushnik-Miller Ulam matrix Uniformly homogeneous Open Access Rock n' Roll Souslin Tree SNR Microscopic Approach weak Kurepa tree Cardinal function Jonsson cardinal stick OCA free Souslin tree 54G20 Interval topology on trees reflection principles Lipschitz reduction middle diamond Monotonically far
Tag Archives: Subtle cardinal
Full Souslin trees at small cardinals
Joint work with Shira Yadai and Zhixing You. Abstract. A $\kappa$-tree is full if each of its limit levels omits no more than one potential branch. Kunen asked whether a full $\kappa$-Souslin tree may consistently exist. Shelah gave an affirmative … Continue reading
