Archives
Keywords
Shelah's Strong Hypothesis Nonspecial tree Almost Souslin Strongly compact cardinal regressive Souslin tree weak diamond Filter reflection Hereditarily Lindelöf space Well-behaved magma Whitehead Problem Rock n' Roll square Diamond Greatly Mahlo Local Club Condensation. Singular Density Forcing Erdos Cardinal weak Kurepa tree C-sequence Subnormal ideal Strong coloring Large Cardinals Aronszajn tree Parameterized proxy principle GMA Strongly Luzin set Uniformly homogeneous Hedetniemi's conjecture S-Space Martin's Axiom Constructible Universe coloring number Interval topology on trees Poset indecomposable filter projective Boolean algebra Luzin set Fodor-type reflection Slim tree Sigma-Prikry Minimal Walks Mandelbrot set square principles Rado's conjecture Universal Sequences Knaster Monotonically far O-space middle diamond Singular cardinals combinatorics Cohen real Almost countably chromatic strongly bounded groups Rainbow sets Absoluteness Cardinal Invariants Countryman line Commutative projection system Reduced Power diamond star Prevalent singular cardinals very good scale P-Ideal Dichotomy Subtle tree property Ineffable cardinal Chang's conjecture L-space Successor of Regular Cardinal Axiom R Amenable C-sequence Hindman's Theorem ccc Non-saturation Ascent Path Intersection model Ulam matrix stationary hitting full tree Open Access Sierpinski's onto mapping principle Generalized descriptive set theory xbox Lipschitz reduction Cardinal function Ascending path free Souslin tree Commutative cancellative semigroups Respecting tree Fast club Jonsson cardinal SNR Forcing with side conditions perfectly normal AIM forcing reflection principles transformations b-scale Prikry-type forcing Forcing Axioms specializable Souslin tree polarized partition relation Subtle cardinal Weakly compact cardinal tensor product graph free Boolean algebra Souslin Tree Chromatic number super-Souslin tree Ramsey theory over partitions Reflecting stationary set Square-Brackets Partition Relations Erdos-Hajnal graphs Antichain 54G20 Precaliber Sakurai's Bell inequality unbounded function stick Was Ulam right? Singular cofinality PFA(S)[S] Fat stationary set incompactness Almost-disjoint family Subadditive Vanishing levels club_AD Iterated forcing Postprocessing function countably metacompact Dushnik-Miller Small forcing Ostaszewski square positive partition relation OCA Closed coloring stationary reflection Coherent tree Entangled linear order Uniformly coherent Club Guessing Diamond for trees Generalized Clubs Dowker space PFA approachability ideal Successor of Singular Cardinal sap Uniformization Foundations Partition Relations nonmeager set weak square Knaster and friends Diamond-sharp higher Baire space Kurepa Hypothesis Distributive tree ZFC construction Analytic sets HOD Microscopic Approach Selective Ultrafilter
Tag Archives: 06E05
Openly generated Boolean algebras and the Fodor-type reflection principle
Joint work with Sakaé Fuchino. Abstract: We prove that the Fodor-type Reflection Principle (FRP) is equivalent to the assertion that any Boolean algebra is openly generated if and only if it is $\aleph _2$-projective. Previously it was known that this … Continue reading
Posted in Compactness, Publications
Tagged 03E35, 03E55, 03E65, 03E75, 03G05, 06E05, Axiom R, Fodor-type reflection, free Boolean algebra, projective Boolean algebra, Shelah's Strong Hypothesis, stationary reflection
Comments Off on Openly generated Boolean algebras and the Fodor-type reflection principle