Selection principles in the Laver, Miller, and Sacks models

DOI10.1090/conm/755/15176zbMath1498.03120arXiv1911.04480OpenAlexW3084407966MaRDI QIDQ4963908

Lyubomyr Zdomskyy

Publication date: 24 February 2021

Published in: Centenary of the Borel Conjecture (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.04480

zbMATH Keywords

Menger spaceSacks forcingMiller forcingHurewicz spaceLaver forcing

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 (1)

Indestructibility of ideals and MAD families

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Mathias-Prikry and Laver type forcing; summable ideals, coideals, and \(+\)-selective filters
• Products of Menger spaces: A combinatorial approach
• Hereditarily Hurewicz spaces and Arhangel'skii sheaf amalgamations
• Proper forcing axiom and selective separability
• Canjar filters
• On \(M\)-separability of countable spaces and function spaces
• The sequence selection properties of \(C_p(X)\)
• Scales, fields, and a problem of Hurewicz
• Separation properties between the \(\sigma \)-compactness and Hurewicz property
• There may be simple \(P_{\aleph _ 1}\)- and \(P_{\aleph _ 2}\)-points and the Rudin-Keisler ordering may be downward directed
• Mob families and mad families
• Some properties of C(X). I
• On the consistency of Borel's conjecture
• The combinatorics of Borel covers
• Products of Menger spaces in the Miller model
• Editorial. The mathematics of Marion Scheepers
• Ultrafilters with small generating sets
• Combinatorics of open covers. I: Ramsey theory
• Covering properties of \(\omega\)-mad families
• The combinatorics of open covers. II
• Cohen-stable families of subsets of integers
• 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
• Gerlits and function spaces
• The Structure of the Real Line
• On some questions about selective separability
• Axiomatic Set Theory
• The near coherence of filters principle does not imply the filter dichotomy principle
• Two Classes of Frechet-Urysohn Spaces
• PRODUCTS OF HUREWICZ SPACES IN THE LAVER MODEL
• The existence of a connected meager in itself $\mathsf {CDH}$ space is independent of $\mathsf {ZFC}$
• Point-cofinite covers in the Laver model
• Linear $\sigma$-additivity and some applications
• Preservation of 𝛾-spaces and covering properties of products
• Countable dense homogeneous filters and the Menger covering property
• Hereditary topological diagonalizations and the Menger-Hurewicz Conjectures
• Eine Verschärfung der Eigenschaft C
• Continuous images of sets of reals

This page was built for publication: Selection principles in the Laver, Miller, and Sacks models