Between continuous and uniformly continuous functions on \(\mathbb{R}^n\)

DOI10.1016/S0166-8641(00)00114-0zbMath0976.54014OpenAlexW1999363840WikidataQ126528067 ScholiaQ126528067MaRDI QIDQ5939252

Dikran Dikranjan, Krzysztof Chris Ciesielski

Publication date: 30 December 2001

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

Full work available at URL: https://doi.org/10.1016/s0166-8641(00)00114-0

zbMATH Keywords

metric spacesCantor functionuniform approachabilityuniform continuity

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Categorical methods in general topology (54B30) Approximation by other special function classes (41A30) Real-valued functions in general topology (54C30)

Related Items (3)

Uniform structures in the beginning of the third millenium ⋮ Functions with distant fibers and uniform continuity ⋮ Uniform quasi components, thin spaces and compact separation

Cites Work

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• Sets on which an entire function is determined by its range
• Characterizing uniform continuity with closure operations
• Functions with distant fibers and uniform continuity
• Uniform quasi components, thin spaces and compact separation
• Sets of range uniqueness for classes of continuous functions
• Sets on which Measurable Functions are Determined by their Range
• THE IMPACT OF CLOSURE OPERATORS ON THE STRUCTURE OF A CONCRETE CATEGORY
• A model with no magic set

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