Some observations on Hurewicz and \(\mathcal{I}\)-Hurewicz property

DOI10.1016/J.TOPOL.2019.01.015zbMath1416.54009OpenAlexW2912645570MaRDI QIDQ1738939

Pratulananda Das, Upasana Samanta, Debraj Chandra

Publication date: 24 April 2019

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

Full work available at URL: https://doi.org/10.1016/j.topol.2019.01.015

zbMATH Keywords

idealfilterlarge coverHurewicz propertysemi-filter\(\mathcal{I}\)-Hurewicz property\(\mathcal{I}\)-\(\gamma\)-cover\(\mathcal{I}\)-bounded\(\mathcal{I}\)-groupable open cover

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Function spaces in general topology (54C35) Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20)

Related Items (2)

The Hurewicz property and the Vietoris hyperspace ⋮ Variations of classical selection principles: An overview

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some remarks on open covers and selection principles using ideals
• Products of Menger spaces: A combinatorial approach
• Weak covering properties and selection principles
• Some further results on \(\mathcal I\)-\(\gamma\) and \(\mathcal I\)-\(\gamma_k\)-covers
• Hereditarily Hurewicz spaces and Arhangel'skii sheaf amalgamations
• Pointwise versus equal (quasi-normal) convergence via ideals
• Generalized kinds of density and the associated ideals
• Statistical convergence in topology
• Partition relations for Hurewicz-type selection hypotheses
• \(o\)-boundedness of free topological groups
• Some properties of C(X). I
• Combinatorics of open covers. I: Ramsey theory
• Problems and theorems in classical set theory
• The combinatorics of open covers. II
• Some observations on filters with properties defined by open covers
• Ideal quasi-normal convergence and related notions
• Menger subsets of the Sorgenfrey line
• On some properties of Hurewicz, Menger, and Rothberger
• Compacts de fonctions mesurables et filtres non mesurables
• Every Lusin set is undetermined in the point-open game
• Combinatorics of open covers (VII): Groupability
• Combinatorial properties of filters and open covers for sets of real numbers

This page was built for publication: Some observations on Hurewicz and \(\mathcal{I}\)-Hurewicz property