Archives
Keywords
weak diamond Fast club Intersection model weak square Strongly compact cardinal Rainbow sets super-Souslin tree Erdos Cardinal Minimal Walks Non-saturation Uniformly homogeneous AIM forcing Singular cofinality Ostaszewski square Filter reflection Square-Brackets Partition Relations projective Boolean algebra Uniformization strongly bounded groups Poset Prikry-type forcing Small forcing Hereditarily Lindelöf space Precaliber square Vanishing levels Parameterized proxy principle countably metacompact PFA(S)[S] Sierpinski's onto mapping principle polarized partition relation Fodor-type reflection Well-behaved magma Sigma-Prikry Ascent Path Knaster and friends Cardinal function Local Club Condensation. Luzin set weak Kurepa tree S-Space Nonspecial tree Respecting tree Postprocessing function ZFC construction Analytic sets full tree Kurepa Hypothesis OCA Hindman's Theorem Successor of Regular Cardinal Subtle cardinal Subnormal ideal reflection principles transformations coloring number Cohen real Uniformly coherent Cardinal Invariants P-Ideal Dichotomy stationary reflection Diamond-sharp Knaster indecomposable ultrafilter Axiom R Subtle tree property Reduced Power Rado's conjecture Commutative cancellative semigroups SNR Open Access Universal Sequences Jonsson cardinal Lipschitz reduction Forcing Axioms GMA Chromatic number Reflecting stationary set Dushnik-Miller Diamond Commutative projection system free Souslin tree Forcing sap Strong coloring club_AD regressive Souslin tree HOD Coherent tree O-space Souslin Tree specializable Souslin tree Chang's conjecture incompactness Diamond for trees Selective Ultrafilter Was Ulam right? Rock n' Roll b-scale Foundations Sakurai's Bell inequality Amenable C-sequence Dowker space Weakly compact cardinal nonmeager set Greatly Mahlo Hedetniemi's conjecture Prevalent singular cardinals xbox C-sequence Singular cardinals combinatorics ccc unbounded function Iterated forcing stationary hitting 54G20 Ramsey theory over partitions Almost Souslin Fat stationary set Slim tree PFA Martin's Axiom middle diamond Strongly Luzin set Ulam matrix square principles positive partition relation stick Singular Density Countryman line free Boolean algebra Distributive tree diamond star Generalized Clubs Closed coloring Successor of Singular Cardinal Partition Relations tensor product graph Antichain Absoluteness Shelah's Strong Hypothesis Erdos-Hajnal graphs Large Cardinals Mandelbrot set Aronszajn tree Club Guessing Generalized descriptive set theory very good scale Almost-disjoint family Subadditive Ineffable cardinal L-space higher Baire space Whitehead Problem Almost countably chromatic Constructible Universe Microscopic Approach approachability ideal
Tag Archives: 20M14
Strong failures of higher analogs of Hindman’s Theorem
Joint work with David J. Fernández Bretón. Abstract. We show that various analogs of Hindman’s Theorem fail in a strong sense when one attempts to obtain uncountable monochromatic sets: Theorem 1. There exists a colouring
Posted in Groups, Partition Relations, Publications
Tagged 03E02, 03E35, 03E75, 05A17, 05D10, 11P99, 20M14, Chang's conjecture, Commutative cancellative semigroups, Erdos Cardinal, Hindman's Theorem, Jonsson cardinal, Kurepa Hypothesis, Square-Brackets Partition Relations, Weakly compact cardinal, ZFC construction
1 Comment
