PRODUCTS OF HUREWICZ SPACES IN THE LAVER MODEL

DOI10.1017/bsl.2017.24zbMath1421.03024arXiv1712.03899OpenAlexW3103652703MaRDI QIDQ4602435

Lyubomyr Zdomskyy, Dušan D. Repovš

Publication date: 11 January 2018

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

Full work available at URL: https://arxiv.org/abs/1712.03899

zbMATH Keywords

Menger spaceHurewicz spaceLaver forcingsemifilter

Mathematics Subject Classification ID

Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Consistency and independence results (03E35) Consistency and independence results in general topology (54A35) Other combinatorial set theory (03E05) Topology of special sets defined by functions (54C50)

Related Items (6)

Products of Menger spaces in the Miller model ⋮ \(M\)-separable spaces of functions are productive in the Miller model ⋮ Products of \(H\)-separable spaces in the Laver model ⋮ Selection principles in the Laver, Miller, and Sacks models ⋮ Covering properties of \(\omega\)-mad families ⋮ Preservation of 𝛾-spaces and covering properties of products

Cites Work

• Mathias-Prikry and Laver type forcing; summable ideals, coideals, and \(+\)-selective filters
• Hereditarily Hurewicz spaces and Arhangel'skii sheaf amalgamations
• Proper forcing axiom and selective separability
• On \(M\)-separability of countable spaces and function spaces
• There may be simple \(P_{\aleph _ 1}\)- and \(P_{\aleph _ 2}\)-points and the Rudin-Keisler ordering may be downward directed
• On the consistency of Borel's conjecture
• The combinatorics of Borel covers
• Combinatorics of open covers. I: Ramsey theory
• The combinatorics of open covers. II
• Selective covering properties of product spaces
• Selective covering properties of product spaces, II: $\gamma $ spaces
• MATHIAS FORCING AND COMBINATORIAL COVERING PROPERTIES OF FILTERS
• Combinatorial Cardinal Characteristics of the Continuum
• Lindelöf indestructibility, topological games and selection principles
• On some questions about selective separability
• The existence of a connected meager in itself $\mathsf {CDH}$ space is independent of $\mathsf {ZFC}$
• Point-cofinite covers in the Laver model
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