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