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