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