Archives
Keywords
Open Access Forcing Axioms Knaster indecomposable filter PFA Postprocessing function Lipschitz reduction Coherent tree stationary hitting sap nonmeager set super-Souslin tree S-Space Rainbow sets diamond star Club Guessing Parameterized proxy principle approachability ideal higher Baire space C-sequence square Whitehead Problem Sigma-Prikry Foundations Martin's Axiom Generalized descriptive set theory Commutative cancellative semigroups very good scale Subtle tree property P-Ideal Dichotomy Uniformly coherent Fat stationary set Mandelbrot set Subnormal ideal AIM forcing specializable Souslin tree Microscopic Approach Strong coloring Respecting tree Monotonically far reflection principles OCA free Souslin tree Sierpinski's onto mapping principle Kurepa Hypothesis Distributive tree middle diamond Filter reflection Singular cardinals combinatorics GMA Precaliber Dushnik-Miller Successor of Singular Cardinal Strongly Luzin set Iterated forcing weak square Strongly compact cardinal Ramsey theory over partitions Entangled linear order stationary reflection full tree Diamond for trees xbox Forcing with side conditions Cardinal function Jonsson cardinal Aronszajn tree Ascending path Was Ulam right? Almost Souslin Greatly Mahlo Slim tree 54G20 Square-Brackets Partition Relations Luzin set unbounded function Constructible Universe Chromatic number Partition relations for trees Prevalent singular cardinals Successor of Regular Cardinal Nonspecial tree polarized partition relation club_AD Selective Ultrafilter Commutative projection system Rado's conjecture countably metacompact Forcing b-scale Chang's conjecture regressive Souslin tree free Boolean algebra ccc transformations Generalized Clubs Poset Rock n' Roll O-space Closed coloring ZFC construction Hindman's Theorem Subadditive Absoluteness Countryman line Intersection model Well-behaved magma Erdos-Hajnal graphs Subtle cardinal square principles Non-saturation Axiom R Hedetniemi's conjecture Singular cofinality Ineffable cardinal Antichain Souslin Tree Dowker space Interval topology on trees L-space Almost-disjoint family positive partition relation weak Kurepa tree Singular Density Fodor-type reflection Amenable C-sequence Small forcing Fast club Shelah's Strong Hypothesis Minimal Walks coloring number strongly bounded groups Weakly compact cardinal Local Club Condensation. Reduced Power Universal Sequences PFA(S)[S] Erdos Cardinal Prikry-type forcing Almost countably chromatic Partition Relations SNR Diamond Analytic sets Knaster and friends perfectly normal Vanishing levels tensor product graph Ulam matrix weak diamond stick incompactness Reflecting stationary set Uniformization Sakurai's Bell inequality projective Boolean algebra Large Cardinals Ostaszewski square Hereditarily Lindelöf space HOD Ascent Path Uniformly homogeneous Diamond-sharp Cardinal Invariants Cohen real
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 $c:\mathbb R\rightarrow\mathbb Q$, such that … Continue reading
Posted in Groups, Partition Relations, Publications
Tagged 03E02, 03E35, 03E75, 05A17, 05D10, 11P99, 20M14, Chang's conjecture, Commutative cancellative semigroups, Entangled linear order, Erdos Cardinal, Hindman's Theorem, Jonsson cardinal, Kurepa Hypothesis, Square-Brackets Partition Relations, Weakly compact cardinal, ZFC construction
1 Comment
