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