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