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