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