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