Archives
Keywords
Diamond for trees very good scale approachability ideal Subtle cardinal Forcing higher Baire space Reduced Power free Boolean algebra Greatly Mahlo middle diamond Was Ulam right? Well-behaved magma Small forcing projective Boolean algebra Forcing with side conditions PFA Fast club incompactness C-sequence Sakurai's Bell inequality xbox Sierpinski's onto mapping principle Uniformization positive partition relation Square-Brackets Partition Relations Fat stationary set Ramsey theory over partitions Martin's Axiom Ascent Path Jonsson cardinal Universal Sequences Rado's conjecture Absoluteness Shelah's Strong Hypothesis Diamond-sharp Local Club Condensation. Souslin Tree Singular cardinals combinatorics reflection principles Subtle tree property Dushnik-Miller tensor product graph Minimal Walks perfectly normal super-Souslin tree Diamond Filter reflection Partition relations for trees Ulam matrix Commutative cancellative semigroups AIM forcing PFA(S)[S] club_AD full tree Kurepa Hypothesis Successor of Singular Cardinal Rock n' Roll Subnormal ideal Parameterized proxy principle Large Cardinals Sigma-Prikry Uniformly homogeneous Successor of Regular Cardinal Almost Souslin square Mandelbrot set Poset S-Space nonmeager set free Souslin tree Cohen real Weakly compact cardinal OCA HOD Club Guessing Rainbow sets Luzin set Knaster GMA L-space Chang's conjecture Selective Ultrafilter Nonspecial tree stationary reflection Countryman line Aronszajn tree Partition Relations Coherent tree Interval topology on trees weak Kurepa tree Ascending path unbounded function Almost-disjoint family Axiom R Erdos-Hajnal graphs O-space indecomposable filter Open Access Dowker space Generalized descriptive set theory Almost countably chromatic Antichain Monotonically far Uniformly coherent Postprocessing function Cardinal function Respecting tree sap Intersection model ccc Amenable C-sequence Forcing Axioms P-Ideal Dichotomy Slim tree Reflecting stationary set Constructible Universe Hindman's Theorem strongly bounded groups Non-saturation Erdos Cardinal Singular Density weak diamond diamond star specializable Souslin tree Cardinal Invariants Strong coloring regressive Souslin tree Precaliber b-scale Chromatic number Iterated forcing Lipschitz reduction Ineffable cardinal Analytic sets countably metacompact square principles coloring number 54G20 Commutative projection system Closed coloring Subadditive Hereditarily Lindelöf space stationary hitting polarized partition relation Ostaszewski square Hedetniemi's conjecture Prikry-type forcing stick Strongly Luzin set Knaster and friends Entangled linear order Prevalent singular cardinals SNR Generalized Clubs Fodor-type reflection weak square transformations Whitehead Problem Singular cofinality Foundations Strongly compact cardinal ZFC construction Distributive tree Microscopic Approach Vanishing levels
Tag Archives: Closed coloring
Knaster and friends II: The C-sequence number
Joint work with Chris Lambie-Hanson. Abstract. Motivated by a characterization of weakly compact cardinals due to Todorcevic, we introduce a new cardinal characteristic, the C-sequence number, which can be seen as a measure of the compactness of a regular uncountable … Continue reading
The 15th International Workshop on Set Theory in Luminy, September 2019
I gave an invited talk at the 15th International Workshop on Set Theory in Luminy in Marseille, September 2019. Talk Title: Chain conditions, unbounded colorings and the C-sequence spectrum. Abstract: The productivity of the $\kappa$-chain condition, where $\kappa$ is a regular, … Continue reading
Posted in Invited Talks
Tagged Closed coloring, Knaster, Precaliber, stationary reflection, unbounded function
Comments Off on The 15th International Workshop on Set Theory in Luminy, September 2019
Knaster and friends I: Closed colorings and precalibers
Joint work with Chris Lambie-Hanson. Abstract. The productivity of the $\kappa$-chain condition, where $\kappa$ is a regular, uncountable cardinal, has been the focus of a great deal of set-theoretic research. In the 1970s, consistent examples of $\kappa$-cc posets whose squares … Continue reading
