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