MA(\(\sigma\)-centered): Cohen reals, strong measure zero sets and strongly meager sets

DOI10.1007/BF02764965zbMath0693.03032MaRDI QIDQ584257

Saharon Shelah, Haim Judah

Publication date: 1989

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Cohen realDual Borel Conjecturestrongly meager setstrongly measure zero set

Mathematics Subject Classification ID

Descriptive set theory (03E15) Consistency and independence results (03E35) Continuum hypothesis and Martin's axiom (03E50)

Related Items (5)

-stability ⋮ Strong measure zero sets without Cohen reals ⋮ Forcing absoluteness and regularity properties ⋮ Dual Borel Conjecture and Cohen reals ⋮ Borel Conjecture, dual Borel Conjecture, and other variants of the Borel Conjecture

Cites Work

• Can you take Solovay's inaccessible away?
• Set theory. An introduction to independence proofs
• Additivity of Measure Implies Additivity of Category
• Powers of Transitive Bases of Measure and Category
• Strong measure zero sets and rapid filters
• Souslin forcing
• Adding a random or a Cohen real: topological consequences and the effect on Martin's axiom
• Internal cohen extensions
• On a Problem of Additive Number Theory

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