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