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