Selection games and the Vietoris space

DOI10.1016/j.topol.2021.107772zbMath1487.54036arXiv2102.00296OpenAlexW3126949261MaRDI QIDQ2072117

Christopher Caruvana, Jared Holshouser

Publication date: 26 January 2022

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

Full work available at URL: https://arxiv.org/abs/2102.00296

zbMATH Keywords

Vietoris topologyselection principlesMenger propertyRothberger property

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Special constructions of topological spaces (spaces of ultrafilters, etc.) (54D80)

Related Items (3)

The Hurewicz property and the Vietoris hyperspace ⋮ On the Reznichenko and Pytkeev properties in hyperspaces ⋮ Unnamed Item

Cites Work

• Selection principles of the Fell topology and the Vietoris topology
• Selection principles and hyperspace topologies
• Selection principles in hyperspaces with generalized Vietoris topologies
• Some properties of C(X). I
• Selectors for sequences of subsets of hyperspaces
• Selection games on continuous functions
• Dual selection games
• Limited information strategies and discrete selectivity
• Applications of \(k\)-covers II
• The combinatorics of open covers. II
• [https://portal.mardi4nfdi.de/wiki/Publication:3032970 Property C � � and Function Spaces]
• Closed Discrete Selection in the Compact Open Topology
• Selection principles and covering properties in Topology
• Topologies on Spaces of Subsets
• Unnamed Item
• Unnamed Item

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