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Mandelbrot set Well-behaved magma Closed coloring club_AD Ulam matrix Cardinal Invariants stationary hitting Almost Souslin Diamond coloring number Poset square OCA Subtle cardinal Vanishing levels Luzin set Almost-disjoint family Hedetniemi's conjecture Erdos-Hajnal graphs Cohen real 54G20 weak diamond Small forcing Cardinal function L-space Knaster and friends Prikry-type forcing Ascent Path SNR Constructible Universe Foundations Ramsey theory over partitions xbox Microscopic Approach Open Access S-Space C-sequence P-Ideal Dichotomy Non-saturation approachability ideal reflection principles GMA weak square positive partition relation projective Boolean algebra Commutative cancellative semigroups Generalized Clubs Souslin Tree Singular cofinality Filter reflection nonmeager set Whitehead Problem Uniformly homogeneous strongly bounded groups sap Chang's conjecture Generalized descriptive set theory Large Cardinals Square-Brackets Partition Relations Partition Relations ZFC construction Club Guessing Reduced Power Weakly compact cardinal Singular cardinals combinatorics specializable Souslin tree Analytic sets Postprocessing function Dushnik-Miller super-Souslin tree Martin's Axiom Successor of Singular Cardinal Diamond-sharp Successor of Regular Cardinal Subnormal ideal full tree regressive Souslin tree Uniformization Almost countably chromatic Lipschitz reduction Minimal Walks higher Baire space polarized partition relation stationary reflection transformations Rainbow sets free Souslin tree Kurepa Hypothesis Singular Density Distributive tree Selective Ultrafilter Sierpinski's onto mapping principle Precaliber Erdos Cardinal Antichain tensor product graph Hereditarily Lindelöf space PFA incompactness Forcing Axioms Prevalent singular cardinals AIM forcing Rock n' Roll Amenable C-sequence Ostaszewski square Strongly Luzin set HOD Subtle tree property Coherent tree Iterated forcing Greatly Mahlo O-space countably metacompact Dowker space unbounded function Was Ulam right Fat stationary set Uniformly coherent Fodor-type reflection Local Club Condensation. free Boolean algebra square principles middle diamond Slim tree Axiom R ccc Nonspecial tree Diamond for trees Knaster Chromatic number Fast club Reflecting stationary set PFA(S)[S] Absoluteness Sakurai's Bell inequality Strong coloring diamond star Shelah's Strong Hypothesis b-scale Parameterized proxy principle Sigma-Prikry very good scale Universal Sequences Subadditive Ineffable cardinal Hindman's Theorem Rado's conjecture Aronszajn tree Jonsson cardinal indecomposable ultrafilter Forcing weak Kurepa tree stick
Tag Archives: Diamond for trees
Diamond on Kurepa trees
Joint work with Ziemek Kostana and Saharon Shelah. Abstract. We introduce a new weak variation of diamond that is meant to only guess the branches of a Kurepa tree. We demonstrate that this variation is considerably weaker than diamond by … Continue reading
Posted in Preprints, Squares and Diamonds
Tagged Diamond, Diamond for trees, Iterated forcing, Kurepa Hypothesis, weak Kurepa tree
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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
Posted in Preprints, Souslin Hypothesis
Tagged Diamond for trees, full tree, Greatly Mahlo, Microscopic Approach, Parameterized proxy principle, Subtle cardinal, tensor product graph
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