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