On Pervin's example concerning the connected-open topology.
McMaster, T.B.M. (1990)
International Journal of Mathematics and Mathematical Sciences
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McMaster, T.B.M. (1990)
International Journal of Mathematics and Mathematical Sciences
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Petr Simon (1978)
Fundamenta Mathematicae
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A. K. Steiner (1970)
Colloquium Mathematicae
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Zdeněk Frolík (1961)
Czechoslovak Mathematical Journal
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Nadal Batle Nicolau, Josep Grané Manlleu (1977)
Stochastica
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The Redfield topology on the space of real-valued continuous functions on a topological space is studied (we call it R-topology for short). The R-neighbourhoods are described relating them to the connectedness for the carriers. The main results are: If the space is totally disconnected without isolated points, the R-topology is not discrete. Under suitable conditions on the space, R-convergence implies pointwise or uniform convergence. Under some restrictions, R-convergence for a net...
Helena Nonas (1978)
Fundamenta Mathematicae
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J. Nienhuys (1972)
Fundamenta Mathematicae
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Frieda Holley (1970)
Fundamenta Mathematicae
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