On wQN\(_*\) and wQN\(^*\) spaces

DOI10.1016/j.topol.2007.10.010zbMath1155.54001OpenAlexW2140894519MaRDI QIDQ958499

Lev Bukovský

Publication date: 5 December 2008

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

Full work available at URL: https://doi.org/10.1016/j.topol.2007.10.010

zbMATH Keywords

QN-spacewQN-space\(\alpha_1\)-property\(S_1(\Gamma, \Gamma)\)sequence selection propertywQN\(_{\ast}\)-spacewQN\(^{\ast}\)-space

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Applications of set theory (03E75) Topology of special sets defined by functions (54C50)

Related Items (14)

Classification of selectors for sequences of dense sets of \(C_{p}(X)\) ⋮ The functional characterizations of the Rothberger and Menger properties ⋮ A functional characterization of the Hurewicz property ⋮ Measurable functions and covering properties ⋮ Modifications of sequence selection principles ⋮ YET ANOTHER IDEAL VERSION OF THE BOUNDING NUMBER ⋮ Hereditarily Hurewicz spaces and Arhangel'skii sheaf amalgamations ⋮ The Ramsey property for \(C_p(X)\) ⋮ Unbounded towers and products ⋮ Selection principle \(\mathrm{S}_{1}\) and combinatorics of open covers ⋮ Principle \(\mathrm{S}_1(\mathcal{P}, \mathcal{R})\): ideals and functions ⋮ Sequences of semicontinuous functions accompanying continuous functions ⋮ Selectors for dense subsets of function spaces ⋮ On Ohta-Sakai's properties of a topological space

Cites Work

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• Hereditarily Hurewicz spaces and Arhangel'skii sheaf amalgamations
• The sequence selection properties of \(C_p(X)\)
• QN-spaces, wQN-spaces and covering properties
• Spaces not distinguishing pointwise and quasinormal convergence of real functions
• On the consistency of Borel's conjecture
• \(C_p(X)\) and Arhangel'skiĭ's \(\alpha_i\)-spaces
• The combinatorics of open covers. II
• Two Classes of Frechet-Urysohn Spaces

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