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