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