Characterization of Cauchy regular functions

DOI10.1016/J.TOPOL.2022.108148zbMath1497.54018OpenAlexW4281567764WikidataQ114127941 ScholiaQ114127941MaRDI QIDQ2673852

Sudip Kumar Pal, Nayan Adhikary

Publication date: 13 June 2022

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

Full work available at URL: https://doi.org/10.1016/j.topol.2022.108148

zbMATH Keywords

connectednesstotal boundednessCauchy regular functionCauchy approachable functionCauchy connectednessCauchy separated fibers

Mathematics Subject Classification ID

Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Connected and locally connected spaces (general aspects) (54D05) Real-valued functions in general topology (54C30)

Cites Work

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• Cauchy-regular functions
• Characterizing continuity by preserving compactness and connectedness.
• Functions with distant fibers and uniform continuity
• An additivity theorem for uniformly continuous functions
• On certain versions of straightness
• On continuity conditions for functions
• On maps preserving connectedness and/or compactness
• THE IMPACT OF CLOSURE OPERATORS ON THE STRUCTURE OF A CONCRETE CATEGORY
• Functions Preserving Compactness and Connectedness

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