Properties of function space under Cauchy convergence topology

DOI10.1016/J.TOPOL.2023.108653OpenAlexW4385519283MaRDI QIDQ6073663

Atri Bhaumik, Sanjay Mishra

Publication date: 18 September 2023

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

Full work available at URL: https://doi.org/10.1016/j.topol.2023.108653

zbMATH Keywords

Cauchy sequencerestriction mapCauchy convergence topologyFréchet-Urysohn property

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Special maps on topological spaces (open, closed, perfect, etc.) (54C10)

Cites Work

• Unnamed Item
• Cauchy convergence topologies on the space of continuous functions
• A \(C_p\)-theory problem book. Functional equivalencies
• On the modifications of the Cauchy convergence topology
• A \(C_p\)-theory problem book. Compactness in function spaces
• A \(C_p\)-theory problem book. Special features of function spaces
• A \(C_p\)-theory problem book. Topological and function spaces
• A Necessary and Sufficient Condition for the Equivalence of the Topologies of Uniform and Compact Convergence
• Function Spaces with Uniform, Fine and Graph Topologies

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