Some further results on \(\mathcal I\)-\(\gamma\) and \(\mathcal I\)-\(\gamma_k\)-covers

DOI10.1016/J.TOPOL.2013.07.035zbMath1282.54017OpenAlexW196342920MaRDI QIDQ386861

Debraj Chandra, Pratulananda Das

Publication date: 11 December 2013

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

Full work available at URL: https://doi.org/10.1016/j.topol.2013.07.035

zbMATH Keywords

ideallarge cover\(\kappa\)-cover\(\kappa\)-groupable open cover\(\kappa\)-weakly groupable large cover\(\mathcal I\)-\(\gamma_k\)-cover\(\mathcal I\)-\(\gamma\)-cover\(\mathcal I\)-groupable \(\kappa\)-coverweakly groupable large cover

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Function spaces in general topology (54C35) Games involving topology, set theory, or logic (91A44) Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20)

Related Items (10)

On certain variations of \(\mathcal{I}\)-Hurewicz property ⋮ Variations of classical selection principles: An overview ⋮ On generalized statistical and ideal convergence of metric-valued sequences ⋮ On τ–covers using ideals and some of its consequences ⋮ On certain generalized versions of groupability ⋮ Some observations on Hurewicz and \(\mathcal{I}\)-Hurewicz property ⋮ Ideal analogues of some variants of the Hurewicz property ⋮ An ideal version of the star-C-Hurewicz covering property ⋮ On a superclass of *-operfectness ⋮ Some remarks on open covers and selection principles using ideals

Cites Work

• Some further results on ideal convergence in topological spaces
• When \(\mathcal I\)-Cauchy nets in complete uniform spaces are \(\mathcal I\)-convergent
• Function spaces and a property of Reznichenko
• \(\gamma\)-sets and other singular sets of real numbers
• Scales, fields, and a problem of Hurewicz
• Statistical convergence in topology
• On \(I\)-Cauchy nets and completeness
• Partition relations for Hurewicz-type selection hypotheses
• \(o\)-boundedness of free topological groups
• Some properties of C(X). I
• \(\mathcal I\)-convergence
• Combinatorics of open covers. VIII
• Combinatorics of open covers. I: Ramsey theory
• Combinatorics of open covers. V: Pixley-Roy spaces of sets of reals, and \(\omega\)-covers
• Applications of \(k\)-covers II
• Applications of \(k\)-covers
• \(I\) and \(I^*\)-convergence of nets
• The combinatorics of open covers. II
• $I$ and $I^*$-convergence in topological spaces
• On some properties of Hurewicz, Menger, and Rothberger
• Partition Theorems and Ultrafilters
• Open covers and partition relations
• Combinatorics of open covers (VII): Groupability
• Closure properties of function spaces
• Combinatorial properties of filters and open covers for sets of real numbers
• On I-convergence of nets in locally solid Riesz spaces
• On some types of convergence of sequences of functions in ideal context
• Selection principles and covering properties in Topology
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Some further results on \(\mathcal I\)-\(\gamma\) and \(\mathcal I\)-\(\gamma_k\)-covers