QN-spaces, wQN-spaces and covering properties

DOI10.1016/j.topol.2006.09.008zbMath1117.54003OpenAlexW2172281771MaRDI QIDQ869671

Jozef Haleš, Lev Bukovský

Publication date: 8 March 2007

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

Full work available at URL: https://doi.org/10.1016/j.topol.2006.09.008

zbMATH Keywords

QN-spacewQN-spacepointwise convergencecovering property\(\gamma\)-coverproperty \((\alpha_0)\)property \((\alpha_1)\)property \((\alpha_4)\)quasinormal convergence

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) Real-valued functions in general topology (54C30)

Related Items (26)

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 ⋮ More on Arhangel’skiĭ sheaf amalgamations ⋮ Dowker-type example and Arhangelskii's \(\alpha_2\)-property ⋮ Modifications of sequence selection principles ⋮ Further applications of bornological covering properties in function spaces ⋮ YET ANOTHER IDEAL VERSION OF THE BOUNDING NUMBER ⋮ Ideal QN-spaces ⋮ Hereditarily Hurewicz spaces and Arhangel'skii sheaf amalgamations ⋮ \(L\)-spaces and the \(P\)-ideal dichotomy ⋮ The Ramsey property for \(C_p(X)\) ⋮ Hurewicz sets of reals without perfect subsets ⋮ Sequence selection principles for quasi-normal convergence ⋮ 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 ⋮ On the Kočinac \(\alpha_i\) properties ⋮ On wQN\(_*\) and wQN\(^*\) spaces ⋮ Continuous selections and \(\sigma \)-spaces ⋮ On the quasinormal convergence of functions ⋮ Sequence selection properties in \(C_p(X)\) with the double ideals ⋮ Real functions, covers and bornologies ⋮ Sequences of semicontinuous functions accompanying continuous functions ⋮ On Ohta-Sakai's properties of a topological space ⋮ Scheepers’ conjecture and the Scheepers diagram

Cites Work

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• On Hurewicz properties.
• The combinatorics of Borel covers
• Thin sets of harmonic analysis and infinite combinatorics
• Combinatorics of open covers. I: Ramsey theory
• A sequential property of $\mathsf {C}_p(X)$ and a covering property of Hurewicz
• Spaces not distinguishing convergences of real-valued functions.

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