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