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