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