Complete metrizability of topologies of strong uniform convergence on bornologies

DOI10.1016/j.jmaa.2011.09.031zbMath1234.54025OpenAlexW1997679392MaRDI QIDQ655480

L'ubica Holá

Publication date: 4 January 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.09.031

zbMATH Keywords

bornologycomplete metrizabilityshieldstrong uniform convergence

Mathematics Subject Classification ID

Complete metric spaces (54E50) Function spaces in general topology (54C35) Bornologies and related structures; Mackey convergence, etc. (46A17)

Related Items

Oscillation revisited ⋮ Cardinal functions, bornologies and strong Whitney convergence ⋮ Clopen linear subspaces and connectedness in function spaces ⋮ Cardinal functions, bornologies and function spaces ⋮ Strong Whitney and strong uniform convergences on a bornology ⋮ Bornologies, topological games and function spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Uniform continuity, uniform convergence, and shields
• Arzelà's theorem and strong uniform convergence on bornologies
• Total boundedness and bornologies
• Completeness properties of function spaces
• Bornological convergences
• Bornological convergence and shields
• The bornology of cofinally complete subsets
• Between compactness and completeness
• Strong uniform continuity
• Boundedness in a topological space
• Boundedness, one-point extensions and B-extensions