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