Mapping a set of reals onto the reals

DOI10.2307/2273449zbMath0527.03031OpenAlexW2145899793MaRDI QIDQ3043136

Arnold W. Miller

Publication date: 1983

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

Full work available at URL: https://doi.org/10.2307/2273449

zbMATH Keywords

forcingZFCcontinuum hypothesisperfect setalways first categoryuniversal measure zero

Mathematics Subject Classification ID

Consistency and independence results (03E35) Continuum hypothesis and Martin's axiom (03E50)

Related Items (30)

Parametrizing open universals ⋮ The Generalized Borel Conjecture and Strongly Proper Orders ⋮ Perfectly meager sets and universally null sets ⋮ Applications of iterated perfect set forcing ⋮ Continuous and smooth images of sets ⋮ On separability of the functional space with the open-point and bi-point-open topologies ⋮ On countably perfectly meager and countably perfectly null sets ⋮ Applying generic coding with help to uniformizations ⋮ PARTITION FORCING AND INDEPENDENT FAMILIES ⋮ Forcing with copies of the Rado and Henson graphs ⋮ Closed sets which consistently have few translations covering the line ⋮ The universal Glivenko-Cantelli property ⋮ Universally meager sets ⋮ Differentiability versus continuity: Restriction and extension theorems and monstrous examples ⋮ Countable dense homogeneity and the Baire property ⋮ On $\mathbb R$-embeddability of almost disjoint families and Akemann–Doner C$^*$-algebras ⋮ Infinite dimensional perfect set theorems ⋮ Spaces not distinguishing convergences of real-valued functions. ⋮ Point-cofinite covers in the Laver model ⋮ Unnamed Item ⋮ On sums of Darboux and nowhere constant continuous functions ⋮ On absolutely Baire nonmeasurable functions ⋮ On a Rectangle Inclusion Problem ⋮ Crowded and Selective Ultrafilters under the Covering Property Axiom ⋮ Borel Conjecture, dual Borel Conjecture, and other variants of the Borel Conjecture ⋮ On $(1,\omega _{1})$-weakly universal functions ⋮ A century of Sierpiński-Zygmund functions ⋮ A small transitive family of continuous functions on the Cantor set ⋮ Extending Baire Property by countably many sets ⋮ Functions with distant fibers and uniform continuity

Cites Work

• Unnamed Item
• On the consistency of Borel's conjecture
• Iterated perfect-set forcing
• Spaces without Large Projective Subspaces.

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