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