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