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