Generic constructions of small sets of reals

DOI10.1016/0166-8641(95)00071-2zbMath0923.03058OpenAlexW2072549227MaRDI QIDQ1924678

Jörg Brendle

Publication date: 20 October 1996

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0166-8641(95)00071-2

zbMATH Keywords

Martin's axiomcontinuum hypothesisrandom realLuzin setSierpiński setCohen realmeasure and categoryHechler real\(\alpha\)-proper forcingCichón's diagramLaver realSacks realsmall set of realsuncountable hereditary \(\gamma\)-setsuncountable sets of reals with strong combinatorial properties

Mathematics Subject Classification ID

Pathological topological spaces (54G15) Continuum hypothesis and Martin's axiom (03E50) Other combinatorial set theory (03E05) Topology of special sets defined by functions (54C50) Other aspects of forcing and Boolean-valued models (03E40)

Related Items (9)

The combinatorics of splittability ⋮ Projective versions of the properties in the Scheepers diagram ⋮ Games on base matrices ⋮ Scales, fields, and a problem of Hurewicz ⋮ Selective covering properties of product spaces, II: $\gamma $ spaces ⋮ Linear $\sigma$-additivity and some applications ⋮ Strongly sequentially separable function spaces, via selection principles ⋮ Strong \(\gamma\)-sets and other singular spaces ⋮ The combinatorics of Borel covers

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