Definability of measures and ultrafilters

DOI10.2307/2272118zbMath0384.03030OpenAlexW2092528704MaRDI QIDQ4163206

Robert M. Solovay, David Pincus

Publication date: 1977

Published in: Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2272118

Mathematics Subject Classification ID

Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Consistency and independence results (03E35) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25)

Related Items (22)

UNIFORM SMOOTHNESS ENTAILS HAHN-BANACH ⋮ The Hahn-Banach Property and the Axiom of Choice ⋮ Dependent choices and weak compactness ⋮ Category-measure duality: convexity, midpoint convexity and Berz sublinearity ⋮ Set theory and the analyst ⋮ Some consequences of Rado's selection lemma ⋮ Three‐space type Hahn‐Banach properties ⋮ Underdetermination of infinitesimal probabilities ⋮ Range of density measures ⋮ Variants on the Berz sublinearity theorem ⋮ MINIMAL AXIOMATIC FRAMEWORKS FOR DEFINABLE HYPERREALS WITH TRANSFER ⋮ SET SIZE AND THE PART–WHOLE PRINCIPLE ⋮ Symmetric submodels of a Cohen generic extension ⋮ Finitely additive measures on \(\mathbb{N}\) ⋮ Injective positively ordered monoids. I ⋮ Injective positively ordered monoids. II ⋮ On the nature of continuous physical quantities in classical and quantum mechanics ⋮ The existence of non-trivial bounded functionals implies the Hahn-Banach extension theorem ⋮ Amorphe Potenzen kompakter Räume ⋮ A standard model of Peano arithmetic with no conservative elementary extension ⋮ On the independence of core-equivalence results from Zermelo-Fraenkel set theory ⋮ The dual space of \(L_\infty\) is \(L_1\)

Cites Work

• A model of set-theory in which every set of reals is Lebesgue measurable
• Consistency results about ordinal definability
• On Homogeneous Measure Algebras
• Unnamed Item

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