There are no hereditary productive \(\gamma \)-spaces

DOI10.1016/j.topol.2008.05.016zbMath1160.54013OpenAlexW2094776454MaRDI QIDQ946602

Francis Jordan

Publication date: 23 September 2008

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

Full work available at URL: https://doi.org/10.1016/j.topol.2008.05.016

zbMATH Keywords

Hurewicz space\(\gamma\)-space\(\lambda\)-space

Mathematics Subject Classification ID

Topological characterizations of particular spaces (54F65) Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20)

Related Items (6)

Weak covering properties and selection principles ⋮ Topological properties of some function spaces ⋮ Rothberger bounded groups and Ramsey theory ⋮ Selective covering properties of product spaces, II: $\gamma $ spaces ⋮ Linear $\sigma$-additivity and some applications ⋮ Menger subsets of the Sorgenfrey line

Cites Work

• Hereditarily Hurewicz spaces and Arhangel'skii sheaf amalgamations
• \(\gamma\)-sets and other singular sets of real numbers
• Productive local properties of function spaces
• The cardinal characteristic for relative \(\gamma \)-sets
• The product of \(<\alpha _ i>\)-spaces
• Some properties of C(X). I
• Subsets of \({}^ \omega\omega\) and the Fréchet-Urysohn and \(\alpha_ i\)-properties
• [https://portal.mardi4nfdi.de/wiki/Publication:3366688 Productively Fr�chet Spaces]
• Every Lusin set is undetermined in the point-open game
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