Selection principles of the Fell topology and the Vietoris topology

DOI10.1016/J.TOPOL.2016.09.008zbMath1355.54014OpenAlexW2520416131MaRDI QIDQ321403

Zuquan Li

Publication date: 13 October 2016

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

Full work available at URL: https://doi.org/10.1016/j.topol.2016.09.008

zbMATH Keywords

hyperspaceVietoris topologyFell topologyselection principles\(c_V\)-cover\(k_F\)-cover

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25)

Related Items (14)

The Hurewicz property and the Vietoris hyperspace ⋮ Selection principles and bitopological hyperspaces ⋮ On the Reznichenko and Pytkeev properties in hyperspaces ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Star versions of the Rothberger property on hyperspaces ⋮ Rothberger and Rothberger-type star selection principles on hyperspaces ⋮ Menger and Menger-type star selection principles for hit-and-miss topology ⋮ Selectors for sequences of subsets of hyperspaces ⋮ Star and strong star-type versions of Rothberger and Menger principles for hit-and-miss topology ⋮ Selection games on hyperspaces ⋮ Selection games and the Vietoris space ⋮ On \(c_\Delta (\Lambda)\)-covers and \(\Delta\gamma\)-sets

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