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