Selection principles, \(\gamma \)-sets and \(\alpha _i\)-properties in Čech closure spaces

DOI10.1016/j.topol.2007.07.008zbMath1221.54004OpenAlexW2062885794MaRDI QIDQ952593

Mila Mršević, Milena Jelić

Publication date: 12 November 2008

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

Full work available at URL: https://doi.org/10.1016/j.topol.2007.07.008

zbMATH Keywords

hyperspaceLindelöf spaceselection principles\(\gamma\)-setČech closure spaceupper Fell topologyupper Vietoris topology(strongly) Frechet-Urysohn space\({\mathfrak C}\)-(interior) cover\(\alpha_i\)-properties\(\Delta^+\)-topology\(\mathbb{Z}^+\)-topology

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Sequential spaces (54D55) Selections in general topology (54C65) Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Topological spaces and generalizations (closure spaces, etc.) (54A05)

Related Items

On the reflective and coreflective subcategory of stratified \(L\)-Čech closure spaces ⋮ On \(c_\Delta (\Lambda)\)-covers and \(\Delta\gamma\)-sets

Cites Work

• Unnamed Item
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• On \(\theta\)-connectedness and \(\theta\)-closure spaces
• Proper and admissible topologies in closure spaces
• Some covering properties of hyperspaces
• Some properties of C(X). I
• Combinatorics of open covers. I: Ramsey theory
• Some covering properties in topological and uniform spaces
• Applications of \(k\)-covers II
• On the Kočinac \(\alpha_i\) properties
• SELECTION PRINCIPLES AND HYPERSPACE TOPOLOGIES IN CLOSURE SPACES
• CONVERGENCE PROPERTIES OF HYPERSPACES