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