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