On local versions of metric uc-ness, hypertopologies and function space topologies

DOI10.1016/S0166-8641(01)00131-6zbMath1021.54014OpenAlexW2064621948MaRDI QIDQ1612231

Ofelia Teresa Alas, Anna Di Concilio

Publication date: 22 August 2002

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

Full work available at URL: https://doi.org/10.1016/s0166-8641(01)00131-6

zbMATH Keywords

Vietoris topologyAttouch-wets topologylocal uc-nessmetric spaces with nice closed ballsuc-nessuniform continuity (local uc)Vietoris-type topologies

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Continuous maps (54C05) Function spaces in general topology (54C35) Real-valued functions in general topology (54C30)

Related Items (2)

Uniform structures in the beginning of the third millenium ⋮ Boundedly UC spaces and topologies on function spaces

Cites Work

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• Uniform continuity of continuous functions of metric spaces
• The topology of the \(\rho\)-Hausdorff distance
• Uniformly continuous homeomorphisms
• Uniform continuity in sequentially uniform spaces
• Uniform Continuity of Continuous Functions on Uniform Spaces
• More about metric spaces on which continuous functions are uniformly continuous
• Metric Spaces on which Continuous Functions are Uniformly Continuous and Hausdorff Distance
• Uniform Continuity on Bounded Sets and the Attouch-Wets Topology
• On Normal Metrics
• Topologies on Spaces of Subsets

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