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