A note on consonance of \(G_\delta\) subsets

DOI10.1016/S0166-8641(97)00131-4zbMath0946.54009OpenAlexW2010769915MaRDI QIDQ1295262

Ahmed Bouziad

Publication date: 23 October 2000

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

Full work available at URL: https://doi.org/10.1016/s0166-8641(97)00131-4

zbMATH Keywords

Vietoris topologyKuratowski convergenceBaire categoryco-compact topology

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Hyperspaces in general topology (54B20) Baire category, Baire spaces (54E52) Several topologies on one set (change of topology, comparison of topologies, lattices of topologies) (54A10) Subspaces in general topology (54B05) Product spaces in general topology (54B10)

Related Items (10)

GAMES AND HEREDITARY BAIRENESS IN HYPERSPACES AND SPACES OF PROBABILITY MEASURES ⋮ Consonance and Cantor set-selectors ⋮ Consonant spaces of countable type and the Menger property ⋮ \({\mathbf H}\)-trivial spaces ⋮ On products of consonant spaces ⋮ Vietoris topology on partial maps with compact domains ⋮ An infraconsonant nonconsonant completely regular space ⋮ On hereditary Baireness of the Vietoris topology ⋮ On the instability of a topological game related to consonance ⋮ Coincidence of function space topologies

Cites Work

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• Borel measures in consonant spaces
• When does the Fell topology on a hyperspace of closed sets coincide with the meet of the upper Kuratowski and the lower Vietoris topologies?
• Espaces héréditairement de Baire
• Descriptive set theory and harmonic analysis
• Consonance and topological completeness in analytic spaces
• When do the Upper Kuratowski Topology (Homeomorphically, Scott Topology) and the Co-compact Topology Coincide?
• Subsets of First Countable Spaces
• The Product of Totally Nonmeagre Spaces
• Topologies on Spaces of Subsets

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