Some remarks on open covers and selection principles using ideals

DOI10.1016/j.topol.2016.01.003zbMath1337.54010OpenAlexW2301691878MaRDI QIDQ260557

Ljubiša D. R. Kočinac, Debraj Chandra, Pratulananda Das

Publication date: 21 March 2016

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

Full work available at URL: https://doi.org/10.1016/j.topol.2016.01.003

zbMATH Keywords

idealfilterselection principlesideal convergence\(\omega\)-coverlarge coveropen cover

Mathematics Subject Classification ID

Games involving topology, set theory, or logic (91A44) Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20)

Related Items

On certain variations of \(\mathcal{I}\)-Hurewicz property ⋮ \( \mathcal{I} \)-connected spaces and the images of metric spaces ⋮ Some observations on ideal variations of bornological covers ⋮ Pseudointersection numbers, ideal slaloms, topological spaces, and cardinal inequalities ⋮ Variations of classical selection principles: An overview ⋮ 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 ⋮ The absolutely strongly star-Hurewicz property with respect to an ideal ⋮ Unnamed Item ⋮ On star-K-\(\mathcal{I}\)-Hurewicz property ⋮ On topological spaces defined by \(\mathcal{I} \)-convergence ⋮ Ideal analogues of some variants of the Hurewicz property ⋮ An ideal version of the star-C-Hurewicz covering property ⋮ On a superclass of *-operfectness

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some further results on \(\mathcal I\)-\(\gamma\) and \(\mathcal I\)-\(\gamma_k\)-covers
• 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
• 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. I: Ramsey theory
• Some covering properties in topological and uniform spaces
• A characterization of the Menger and Hurewicz properties of subspaces of the real line.
• The combinatorics of open covers. II
• $I$ and $I^*$-convergence in topological spaces
• Partition Theorems and Ultrafilters
• Combinatorics of open covers (VII): Groupability
• Combinatorial properties of filters and open covers for sets of real numbers
• Selection principles and covering properties in Topology