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