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