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