Jumping with random reals

DOI10.1016/0168-0072(90)90019-XzbMath0711.03021MaRDI QIDQ922537

Tomek Bartoszynski, Haim Judah

Publication date: 1990

Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)

zbMATH Keywords

measure algebraperfect setgeneric extensionrandom realsmeagre setcardinals related to the ideal of null setsSolovay reals

Mathematics Subject Classification ID

Descriptive set theory (03E15) Consistency and independence results (03E35)

Related Items (9)

Fragments of Martin's axiom and \(\Delta_ 3^ 1\) sets of reals ⋮ Around random algebra ⋮ No random reals in countable support iterations ⋮ Amoeba reals ⋮ Density zero slaloms ⋮ Closed measure zero sets ⋮ Perfect sets of random reals ⋮ Combinatorial properties of Hechler forcing ⋮ On the \(\omega_1\) limits of subsets of the real line

Cites Work

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• On covering of real line by null sets
• On Dense Subsets of the Measure Algebra
• The cofinality of cardinal invariants related to measure and category
• On the cofinality of the smallest covering of the real line by meager sets
• -sets of reals
• The Kunen-Miller chart (Lebesgue measure, the Baire property, Laver reals and preservation theorems for forcing)

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