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