Archives
Keywords
tensor product graph countably metacompact unbounded function Cohen real Iterated forcing Ineffable cardinal weak diamond Singular cardinals combinatorics middle diamond Sigma-Prikry higher Baire space stationary reflection Local Club Condensation. Forcing Respecting tree Almost countably chromatic Successor of Singular Cardinal Precaliber Strongly Luzin set Prikry-type forcing Small forcing L-space b-scale Partition Relations Dushnik-Miller PFA(S)[S] free Souslin tree Partition relations for trees Monotonically far Jonsson cardinal weak Kurepa tree Fat stationary set Almost Souslin O-space P-Ideal Dichotomy Antichain Diamond-sharp Greatly Mahlo Almost-disjoint family Strongly compact cardinal Knaster and friends Subtle cardinal HOD Club Guessing Prevalent singular cardinals Entangled linear order nonmeager set Subtle tree property transformations Coherent tree Hindman's Theorem Uniformization regressive Souslin tree Lipschitz reduction Uniformly homogeneous Open Access Dowker space super-Souslin tree Intersection model Selective Ultrafilter Reflecting stationary set xbox Foundations stationary hitting Singular Density Postprocessing function Constructible Universe Large Cardinals reflection principles sap Absoluteness Minimal Walks Slim tree Sakurai's Bell inequality Knaster Non-saturation coloring number Chromatic number Weakly compact cardinal Cardinal Invariants very good scale Ascent Path Subadditive Vanishing levels Filter reflection Diamond for trees Kurepa Hypothesis Analytic sets Generalized Clubs Parameterized proxy principle Ramsey theory over partitions Square-Brackets Partition Relations Chang's conjecture incompactness Distributive tree Uniformly coherent Fast club Ulam matrix free Boolean algebra Generalized descriptive set theory Luzin set PFA polarized partition relation Successor of Regular Cardinal 54G20 GMA Diamond diamond star Commutative projection system Microscopic Approach C-sequence Forcing with side conditions club_AD approachability ideal Ascending path Nonspecial tree Mandelbrot set Strong coloring Erdos-Hajnal graphs ZFC construction ccc Martin's Axiom Aronszajn tree Reduced Power Subnormal ideal projective Boolean algebra Shelah's Strong Hypothesis Cardinal function AIM forcing Commutative cancellative semigroups Closed coloring Hedetniemi's conjecture full tree Interval topology on trees Countryman line square principles stick weak square Rado's conjecture Amenable C-sequence Singular cofinality Hereditarily Lindelöf space Well-behaved magma Ostaszewski square Axiom R Poset SNR specializable Souslin tree square strongly bounded groups Rainbow sets Universal Sequences Was Ulam right? Rock n' Roll Whitehead Problem indecomposable filter Forcing Axioms OCA Erdos Cardinal positive partition relation Sierpinski's onto mapping principle perfectly normal S-Space Fodor-type reflection Souslin Tree
Tag Archives: weak Kurepa tree
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 guess only the branches of a Kurepa tree. We demonstrate that this variation is considerably weaker than diamond by … Continue reading
Squares, ultrafilters and forcing axioms
Joint work with Chris Lambie-Hanson and Jing Zhang. Abstract. We study the interplay of the three families of combinatorial objects or principles. Specifically, we show the following. Strong forcing axioms, in general incompatible with the existence of indexed squares, can … Continue reading
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
2 Comments
Sums of triples in Abelian groups
Joint work with Ido Feldman. Abstract. Motivated by a problem in additive Ramsey theory, we extend Todorcevic’s partitions of three-dimensional combinatorial cubes to handle additional three-dimensional objects. As a corollary, we get that if the continuum hypothesis fails, then for … Continue reading
