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Universal Sequences diamond star Fodor-type reflection Subtle tree property incompactness 54G20 GMA sap Iterated forcing Subtle cardinal Uniformly coherent Microscopic Approach transformations Large Cardinals Selective Ultrafilter Lipschitz reduction Cardinal Invariants Nonspecial tree weak Kurepa tree Postprocessing function Kurepa Hypothesis polarized partition relation OCA Successor of Singular Cardinal projective Boolean algebra stationary hitting Fat stationary set Small forcing Foundations C-sequence Jonsson cardinal free Boolean algebra Singular Density specializable Souslin tree Prevalent singular cardinals full tree Uniformization Hindman's Theorem Ascent Path PFA(S)[S] Sigma-Prikry Minimal Walks Square-Brackets Partition Relations Generalized Clubs Partition Relations Vanishing levels Axiom R Filter reflection Ulam matrix regressive Souslin tree Closed coloring Fast club Parameterized proxy principle L-space Martin's Axiom Well-behaved magma unbounded function Cardinal function Whitehead Problem Souslin Tree Dushnik-Miller Diamond for trees Knaster and friends Constructible Universe Reduced Power Sierpinski's onto mapping principle coloring number Was Ulam right Knaster S-Space Chang's conjecture Erdos-Hajnal graphs Forcing Successor of Regular Cardinal higher Baire space Weakly compact cardinal weak square Distributive tree Diamond-sharp Almost-disjoint family Cohen real Club Guessing Slim tree countably metacompact Rock n' Roll Rainbow sets Dowker space free Souslin tree Generalized descriptive set theory SNR very good scale Uniformly homogeneous stationary reflection super-Souslin tree Open Access Poset ccc P-Ideal Dichotomy Shelah's Strong Hypothesis Subnormal ideal Coherent tree Ramsey theory over partitions middle diamond Absoluteness Hedetniemi's conjecture ZFC construction indecomposable ultrafilter Ostaszewski square Almost Souslin Prikry-type forcing xbox Subadditive b-scale reflection principles Commutative cancellative semigroups Analytic sets Ineffable cardinal positive partition relation Singular cofinality Strong coloring Non-saturation club_AD O-space nonmeager set Local Club Condensation. Hereditarily Lindelöf space Almost countably chromatic tensor product graph Reflecting stationary set PFA Singular cardinals combinatorics Chromatic number AIM forcing Sakurai's Bell inequality square principles strongly bounded groups Precaliber Mandelbrot set Aronszajn tree Forcing Axioms weak diamond Greatly Mahlo Strongly Luzin set square Rado's conjecture HOD approachability ideal Luzin set Antichain Amenable C-sequence Diamond Erdos Cardinal stick
Tag Archives: 54H05
Fake Reflection
Joint work with Gabriel Fernandes and Miguel Moreno. Abstract. We introduce a generalization of stationary set reflection which we call filter reflection, and show it is compatible with the axiom of constructibility as well as with strong forcing axioms. We … Continue reading