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