Strong measure zero and infinite games

DOI10.1007/S00153-017-0541-ZzbMath1417.03255OpenAlexW2612711998MaRDI QIDQ2408072

Robert M. Solovay, Jan Mycielski

Publication date: 9 October 2017

Published in: Archive for Mathematical Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00153-017-0541-z

zbMATH Keywords

first categoryinfinite gamestrong measure zero

Mathematics Subject Classification ID

Descriptive set theory (03E15) Pathological topological spaces (54G15) Games involving topology, set theory, or logic (91A44)

Related Items (15)

Set theory and the analyst ⋮ Translation invariant ideals ⋮ Two stars ⋮ On cardinal invariants for CCC 𝜎-ideals ⋮ On cardinal invariants for CCC 𝜎-ideals ⋮ Beyond Erdős-Kunen-Mauldin: shift-compactness properties and singular sets ⋮ Borel’s conjecture and meager-additive sets ⋮ Game-theoretical aspects of the Borel conjecture ⋮ Strong measure zero in Polish groups ⋮ Ramsey theory and the Borel conjecture ⋮ Borel Conjecture, dual Borel Conjecture, and other variants of the Borel Conjecture ⋮ Consonant spaces and topological games ⋮ Strong measure zero and meager-additive sets through the prism of fractal measures ⋮ Countable dimensionality, a game and the Haver property ⋮ Borel conjecture and dual Borel conjecture

Cites Work

• Unnamed Item
• On the consistency of Borel's conjecture
• A note on Scheeffer's theorem
• Strong Measure Zero and Strongly Meager Sets
• On some covering properties of metric spaces
• Some cover properties of spaces

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