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Prevalent singular cardinals higher Baire space Chang's conjecture Fast club projective Boolean algebra Commutative projection system specializable Souslin tree approachability ideal Successor of Regular Cardinal Local Club Condensation. Successor of Singular Cardinal Strongly Luzin set Fat stationary set Subtle cardinal Diamond Postprocessing function SNR stationary hitting countably metacompact Cardinal function Greatly Mahlo transformations Rado's conjecture Filter reflection super-Souslin tree Forcing Axioms square Hereditarily Lindelöf space b-scale weak diamond Coherent tree Well-behaved magma C-sequence Subadditive Axiom R GMA Large Cardinals tensor product graph Respecting tree Selective Ultrafilter Forcing Diamond for trees Souslin Tree Iterated forcing Closed coloring Generalized Clubs Dushnik-Miller Ulam matrix Martin's Axiom Singular Density Vanishing levels Was Ulam right? Monotonically far Poset Club Guessing indecomposable filter free Boolean algebra Almost Souslin coloring number weak Kurepa tree Fodor-type reflection strongly bounded groups Absoluteness Lipschitz reduction Open Access Square-Brackets Partition Relations Analytic sets Interval topology on trees Parameterized proxy principle Prikry-type forcing Partition relations for trees Foundations xbox Sakurai's Bell inequality Luzin set Uniformly coherent Rock n' Roll ZFC construction Subtle tree property Erdos Cardinal square principles Erdos-Hajnal graphs Sigma-Prikry S-Space Small forcing Whitehead Problem Slim tree Almost countably chromatic Generalized descriptive set theory sap PFA Strongly compact cardinal positive partition relation L-space reflection principles Uniformization Nonspecial tree Singular cofinality Entangled linear order PFA(S)[S] weak square Weakly compact cardinal Rainbow sets Cohen real Ineffable cardinal middle diamond nonmeager set Subnormal ideal incompactness full tree stick Reflecting stationary set Ascending path 54G20 very good scale Sierpinski's onto mapping principle Aronszajn tree Kurepa Hypothesis club_AD perfectly normal HOD regressive Souslin tree Distributive tree Almost-disjoint family Antichain Reduced Power Commutative cancellative semigroups Ascent Path Amenable C-sequence Dowker space Uniformly homogeneous Knaster Mandelbrot set Constructible Universe Microscopic Approach Shelah's Strong Hypothesis Knaster and friends Ostaszewski square P-Ideal Dichotomy diamond star free Souslin tree Jonsson cardinal Hindman's Theorem Non-saturation stationary reflection Partition Relations Intersection model ccc unbounded function Chromatic number Countryman line Cardinal Invariants O-space Singular cardinals combinatorics Ramsey theory over partitions Diamond-sharp Hedetniemi's conjecture Minimal Walks polarized partition relation Strong coloring Universal Sequences AIM forcing OCA Precaliber Forcing with side conditions
Tag Archives: Almost Souslin
Square with built-in diamond-plus
Joint work with Ralf Schindler. Abstract. We formulate combinatorial principles that combine the square principle with various strong forms of diamond, and prove that the strongest amongst them holds in $L$ for every infinite cardinal. As an application, we prove that … Continue reading
Posted in Publications, Squares and Diamonds
Tagged 03E05, 03E45, Almost Souslin, diamond star, Kurepa Hypothesis, Minimal Walks, Respecting tree, square, xbox
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Reduced powers of Souslin trees
Joint work with Ari Meir Brodsky. Abstract. We study the relationship between a $\kappa$-Souslin tree $T$ and its reduced powers $T^\theta/\mathcal U$. Previous works addressed this problem from the viewpoint of a single power $\theta$, whereas here, tools are developed … Continue reading
