Cardinal functions, bornologies and function spaces

DOI10.1007/s10231-013-0330-1zbMath1302.54007OpenAlexW2016922386MaRDI QIDQ466945

Branislav Novotný, L'ubica Holá

Publication date: 31 October 2014

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-013-0330-1

zbMATH Keywords

cardinal invariantbornologytopology of strong uniform convergence

Mathematics Subject Classification ID

Continuous maps (54C05) Function spaces in general topology (54C35) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Real-valued functions in general topology (54C30)

Related Items (6)

Cardinal functions, bornologies and strong Whitney convergence ⋮ Fréchet subspaces of minimal usco and minimal cusco maps ⋮ When is the space of minimal usco/cusco maps a topological vector space ⋮ Clopen linear subspaces and connectedness in function spaces ⋮ Strong Whitney and strong uniform convergences on a bornology ⋮ Real functions, covers and bornologies

Cites Work

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• Uniform continuity, uniform convergence, and shields
• Complete metrizability of topologies of strong uniform convergence on bornologies
• On the density of the space of continuous and uniformly continuous functions
• Arzelà's theorem and strong uniform convergence on bornologies
• Topological properties of spaces of continuous functions
• Strong uniform continuity
• Characterizing separability of function spaces

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