On the density of the space of continuous and uniformly continuous functions

DOI10.1016/j.topol.2005.03.002zbMath1088.54009OpenAlexW2091538619MaRDI QIDQ818349

Camillo Costantini

Publication date: 20 March 2006

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

Full work available at URL: https://doi.org/10.1016/j.topol.2005.03.002

zbMATH Keywords

metric spacedensitycontinuous functionfunction spaceuniformly continuous functionextent

Mathematics Subject Classification ID

Continuous maps (54C05) Function spaces in general topology (54C35) Metric spaces, metrizability (54E35) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25)

Related Items (5)

Topology of uniform convergence and \(m\)-topology on \(C(X)\) ⋮ Uniform structures in the beginning of the third millenium ⋮ Cardinal functions, bornologies and function spaces ⋮ Topology of uniform convergence and Čech-Stone compactification ⋮ Non-separable Hilbert manifolds of continuous mappings

Cites Work

• Coarser connected topologies
• Which Connected Metric Spaces are Compact?
• Topological Completions of Metrizable Spaces
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