On the coincidence of set-open and uniform topologies

DOI10.1134/S0081543809070165zbMath1235.54010OpenAlexW2015401144MaRDI QIDQ764741

S. E. Nokhrin, Alexander V. Osipov

Publication date: 14 March 2012

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543809070165

zbMATH Keywords

space of continuous functionsset-open topologytopology of uniform convergence on a family of sets

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Several topologies on one set (change of topology, comparison of topologies, lattices of topologies) (54A10)

Related Items (11)

The topology of uniform convergence on Lindelöf subsets ⋮ On the completeness properties of the C-compact-open topology on C(X) ⋮ Topological-algebraic properties of function spaces with set-open topologies ⋮ Clopen linear subspaces and connectedness in function spaces ⋮ Embedding theorems for function spaces ⋮ Unnamed Item ⋮ Indestructibly productively Lindelöf and Menger function spaces ⋮ Comparison of some set open topologies on \(C(X, Y)\) ⋮ Set-open topologies on function spaces ⋮ The selectively pseudocompact-open topology on \(C(X)\) ⋮ Unnamed Item

Cites Work

• Topological properties of spaces of continuous functions
• Topologies for function spaces
• On topologies for function spaces

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