On Cauchy condition and related notion of connectedness

DOI10.1016/J.TOPOL.2020.107499zbMath1482.54021OpenAlexW3110656821MaRDI QIDQ820634

Sudip Kumar Pal, Nayan Adhikary, Pratulananda Das

Publication date: 27 September 2021

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

Full work available at URL: https://doi.org/10.1016/j.topol.2020.107499

zbMATH Keywords

connected spaceCauchy connected spaceCauchy regular functionquasi Cauchy sequenceuniformly connected spaceWard continuityWC space

Mathematics Subject Classification ID

Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Connected and locally connected spaces (general aspects) (54D05) Uniform structures and generalizations (54E15) Real-valued functions in general topology (54C30) Semimetric spaces (54E25)

Related Items (1)

Characterization of Cauchy regular functions

Cites Work

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• Statistical ward continuity
• Uniform continuity of continuous functions of metric spaces
• On uniform connectedness
• Cauchy-regular functions
• Between compactness and completeness
• Quasi-Cauchy Sequences
• ON SOME UNIFORM CONNECTION PROPERTIES RELATED TO LOCAL CONNECTEDNESS
• More about metric spaces on which continuous functions are uniformly continuous
• On Uniform Connectedness
• On uniform connectedness in nearness frames

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