Hereditarily Hurewicz spaces and Arhangel'skii sheaf amalgamations

DOI10.4171/JEMS/305zbMath1267.54019arXiv1004.0211OpenAlexW3125852233MaRDI QIDQ409041

Boaz Tsaban, Lyubomyr Zdomskyy

Publication date: 12 April 2012

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1004.0211

zbMATH Keywords

pointwise convergenceselection principlesideal convergenceHurewicz property\(\alpha_{1}\) spaceeventual dominancepoint-cofinite coversQN sets

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Applications of set theory (03E75) Foundations: limits and generalizations, elementary topology of the line (26A03)

Related Items (24)

A functional characterization of the Hurewicz property ⋮ More on Arhangel’skiĭ sheaf amalgamations ⋮ Measurable functions and covering properties ⋮ Modifications of sequence selection principles ⋮ Projective versions of the properties in the Scheepers diagram ⋮ YET ANOTHER IDEAL VERSION OF THE BOUNDING NUMBER ⋮ Ideal QN-spaces ⋮ The Ramsey property for \(C_p(X)\) ⋮ PRODUCTS OF HUREWICZ SPACES IN THE LAVER MODEL ⋮ Sequence selection principles for quasi-normal convergence ⋮ Unbounded towers and products ⋮ On the different kinds of separability of the space of Borel functions ⋮ Some observations on Hurewicz and \(\mathcal{I}\)-Hurewicz property ⋮ There are no hereditary productive \(\gamma \)-spaces ⋮ Ideal weak QN-spaces ⋮ Application of selection principles in the study of the properties of function spaces ⋮ On wQN\(_*\) and wQN\(^*\) spaces ⋮ Continuous selections and \(\sigma \)-spaces ⋮ Point-cofinite covers in the Laver model ⋮ Arhangel’skiĭ sheaf amalgamations in topological groups ⋮ Linear $\sigma$-additivity and some applications ⋮ On the quasinormal convergence of functions ⋮ Selection principles in the Laver, Miller, and Sacks models ⋮ On Ohta-Sakai's properties of a topological space

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