Combinatorics of open covers. IV: Subspaces of the Alexandroff double of the unit interval

DOI10.1016/S0166-8641(97)00073-4zbMath0947.91016MaRDI QIDQ1295359

Marion Scheepers

Publication date: 8 November 2000

Published in: Topology and its Applications (Search for Journal in Brave)

zbMATH Keywords

topological gamesstrong measure zero setsinfinite gameBorel conjecture\(\omega\)-coverpartition relationwinning strategyRothberger property

Mathematics Subject Classification ID

Games involving topology, set theory, or logic (91A44) Selections in general topology (54C65)

Related Items

Diagonalizations of dense families ⋮ Variations on a theorem of Arhangel'skii and Pytkeev ⋮ A coanalytic Menger group that is not $\sigma$-compact ⋮ LARGE OPEN COVERS AND A POLARIZED PARTITION RELATION ⋮ Finite powers of strong measure zero sets ⋮ Weak covering properties and infinite games ⋮ Game-theoretical aspects of the Borel conjecture

Cites Work

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• Pixley-Roy spaces over subsets of the reals
• Some properties of C(X). I
• On the consistency of Borel's conjecture
• The combinatorics of open covers. II
• On some properties of Hurewicz, Menger, and Rothberger
• Strong measure zero sets without Cohen reals