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