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