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Continuous functions which take a somewhere dense set of values on every open set

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Publication:1975541
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DOI10.1016/S0166-8641(98)00163-1zbMath0958.54009OpenAlexW2057084861MaRDI QIDQ1975541

Maxim R. Burke

Publication date: 6 April 2001

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

Full work available at URL: https://doi.org/10.1016/s0166-8641(98)00163-1


zbMATH Keywords

nowhere thinset of range uniquenessnowhere constant


Mathematics Subject Classification ID

Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Singular functions, Cantor functions, functions with other special properties (26A30) Consistency and independence results (03E35) Continuum hypothesis and Martin's axiom (03E50) Real-valued functions in general topology (54C30)


Related Items (5)

Approximation and interpolation by entire functions with restriction of the values of the derivatives ⋮ Order continuity and regularity on vector lattices and on lattices of continuous functions ⋮ Analytic topologies over countable sets ⋮ Functions with distant fibers and uniform continuity ⋮ Uniform quasi components, thin spaces and compact separation






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