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