Products of Menger spaces in the Miller model

DOI10.1016/j.aim.2018.06.016OpenAlexW2810487324WikidataQ129500554 ScholiaQ129500554MaRDI QIDQ1669029

Lyubomyr Zdomskyy

Publication date: 29 August 2018

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.10385

zbMATH Keywords

Menger spaceMiller forcingsemifilterconcentrated space

Mathematics Subject Classification ID

Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Consistency and independence results (03E35) Other combinatorial set theory (03E05) Topology of special sets defined by functions (54C50)

Related Items (8)

\(M\)-separable spaces of functions are productive in the Miller model ⋮ Abstract colorings, games and ultrafilters ⋮ Coideals as remainders of groups distinguishing between combinatorial covering properties ⋮ The Menger property and \(l\)-equivalence ⋮ Finite powers and products of Menger sets ⋮ Selection principles in the Laver, Miller, and Sacks models ⋮ Preservation of 𝛾-spaces and covering properties of products ⋮ Menger-bounded groups and axioms about filters

Cites Work

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• The combinatorics of open covers. II
• Selective covering properties of product spaces
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• MATHIAS FORCING AND COMBINATORIAL COVERING PROPERTIES OF FILTERS
• Combinatorial Cardinal Characteristics of the Continuum
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