Finite powers of strong measure zero sets

DOI10.2307/2586631zbMath1010.54028OpenAlexW1975793035MaRDI QIDQ4934041

Marion Scheepers

Publication date: 7 March 2000

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

Full work available at URL: https://doi.org/10.2307/2586631

zbMATH Keywords

topological gamesRamsey theorycovering propertiesstrong measure zero setsproduct spacesselection principlescombinatorial set theorypartition relations

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Games involving topology, set theory, or logic (91A44) Product spaces in general topology (54B10) Other combinatorial set theory (03E05) Partition relations (03E02)

Related Items (12)

Combinatorics of open covers. VIII ⋮ Combinatorics of open covers. XI: Menger- and Rothberger-bounded groups ⋮ When does the Haver property imply selective screenability? ⋮ The Rothberger property on \(C_p(X,2)\) ⋮ A note on unbounded strongly measure zero subgroups of the Baer-Specker group ⋮ Function spaces and a property of Reznichenko ⋮ Rothberger bounded groups and Ramsey theory ⋮ Selective covering properties of product spaces, II: $\gamma $ spaces ⋮ Game-theoretical aspects of the Borel conjecture ⋮ Strong measure zero in Polish groups ⋮ Ramsey theory and the Borel conjecture ⋮ Strong measure zero and meager-additive sets through the prism of fractal measures

Cites Work

• Unnamed Item
• \(\gamma\)-sets and other singular sets of real numbers
• Some properties of C(X). I
• On the consistency of Borel's conjecture
• Combinatorics of open covers. IV: Subspaces of the Alexandroff double of the unit interval
• Combinatorics of open covers. I: Ramsey theory
• The combinatorics of open covers. II
• Open covers and partition relations

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