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