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