×

zbMATH — the first resource for mathematics

Strong measure zero and strongly meager sets. (English) Zbl 0787.03037
Summary: We consider conjectures made by Prikry and Galvin concerning strong measure zero and strongly meager sets of real numbers.

MSC:
03E05 Other combinatorial set theory
03E15 Descriptive set theory
03E35 Consistency and independence results
03E50 Continuum hypothesis and Martin’s axiom
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] P. Erdős, K. Kunen, and R. Daniel Mauldin, Some additive properties of sets of real numbers, Fund. Math. 113 (1981), no. 3, 187 – 199. · Zbl 0482.28001
[2] Thomas Jech, Set theory, Academic Press [Harcourt Brace Jovanovich, Publishers], New York-London, 1978. Pure and Applied Mathematics. · Zbl 0419.03028
[3] Richard Laver, On the consistency of Borel’s conjecture, Acta Math. 137 (1976), no. 3-4, 151 – 169. · Zbl 0357.28003
[4] G. G. Lorentz, On a problem of additive number theory, Proc. Amer. Math. Soc. 5 (1954), 838 – 841. · Zbl 0056.03902
[5] Arnold W. Miller, Special subsets of the real line, Handbook of set-theoretic topology, North-Holland, Amsterdam, 1984, pp. 201 – 233. · Zbl 0588.54035
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.