Open covers and partition relations

DOI10.1090/S0002-9939-99-04513-XzbMath0911.03024OpenAlexW1600260649MaRDI QIDQ4219155

Marion Scheepers

Publication date: 18 November 1998

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-99-04513-x

zbMATH Keywords

infinite gamespartition propertyopen coverRothberger's propertyMenger's property

Mathematics Subject Classification ID

Games involving topology, set theory, or logic (91A44) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05) Other combinatorial set theory (03E05)

Related Items (13)

Combinatorics of open covers. VIII ⋮ Selection principles and Sierpinski sets ⋮ Some further results on \(\mathcal I\)-\(\gamma\) and \(\mathcal I\)-\(\gamma_k\)-covers ⋮ Abstract colorings, games and ultrafilters ⋮ A note on the Menger (Rothberger) property and topological games ⋮ On τ–covers using ideals and some of its consequences ⋮ Rothberger bounded groups and Ramsey theory ⋮ Finite powers of strong measure zero sets ⋮ Partition relations for Hurewicz-type selection hypotheses ⋮ Conceptual proofs of the Menger and Rothberger games ⋮ Ramsey theory and the Borel conjecture ⋮ Strong \(\gamma\)-sets and other singular spaces ⋮ The combinatorics of Borel covers

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