Archives
Keywords
very good scale square Greatly Mahlo Distributive tree Square-Brackets Partition Relations Cardinal Invariants reflection principles Commutative projection system Knaster and friends Weakly compact cardinal Partition relations for trees Precaliber Hedetniemi's conjecture Dowker space Subadditive Countryman line super-Souslin tree Diamond AIM forcing transformations Fat stationary set full tree HOD Well-behaved magma Diamond-sharp Successor of Singular Cardinal projective Boolean algebra Slim tree Poset Interval topology on trees incompactness 54G20 GMA indecomposable filter Antichain Foundations diamond star SNR Strong coloring Ascending path Forcing with side conditions square principles C-sequence unbounded function weak Kurepa tree Postprocessing function Ineffable cardinal Martin's Axiom Jonsson cardinal free Boolean algebra middle diamond Constructible Universe Souslin Tree xbox Knaster b-scale Rado's conjecture Almost-disjoint family Minimal Walks Entangled linear order Selective Ultrafilter countably metacompact Amenable C-sequence Hereditarily Lindelöf space club_AD higher Baire space Mandelbrot set ccc Ulam matrix Coherent tree Forcing Axioms Subtle tree property Was Ulam right? Vanishing levels Lipschitz reduction Hindman's Theorem Intersection model Aronszajn tree Diamond for trees Commutative cancellative semigroups Reduced Power Prikry-type forcing Iterated forcing Subtle cardinal Generalized descriptive set theory Strongly Luzin set Successor of Regular Cardinal PFA(S)[S] Club Guessing S-Space L-space free Souslin tree Almost Souslin Rainbow sets Whitehead Problem Rock n' Roll Microscopic Approach Reflecting stationary set Singular cardinals combinatorics positive partition relation polarized partition relation weak square approachability ideal Almost countably chromatic Uniformly homogeneous Large Cardinals Uniformly coherent Small forcing sap OCA stationary reflection Axiom R Closed coloring Sierpinski's onto mapping principle Luzin set Fast club tensor product graph strongly bounded groups Singular cofinality Prevalent singular cardinals Kurepa Hypothesis Local Club Condensation. Sigma-Prikry nonmeager set Absoluteness Ramsey theory over partitions ZFC construction regressive Souslin tree Sakurai's Bell inequality stationary hitting Nonspecial tree Filter reflection PFA Dushnik-Miller P-Ideal Dichotomy weak diamond Forcing Respecting tree Non-saturation stick Shelah's Strong Hypothesis Analytic sets perfectly normal Open Access Monotonically far Ascent Path Universal Sequences coloring number Cardinal function Chang's conjecture Erdos Cardinal Erdos-Hajnal graphs Singular Density Cohen real Ostaszewski square Parameterized proxy principle Generalized Clubs Fodor-type reflection specializable Souslin tree Uniformization O-space Chromatic number Strongly compact cardinal Subnormal ideal Partition Relations Baumgartner's square
Tag Archives: Local Club Condensation.
Inclusion modulo nonstationary
Joint work with Gabriel Fernandes and Miguel Moreno. Abstract. A classical theorem of Hechler asserts that the structure $\left(\omega^\omega,\le^*\right)$ is universal in the sense that for any $\sigma$-directed poset $\mathbb P$ with no maximal element, there is a ccc forcing … Continue reading