Displaying similar documents to “On the connected-open topology”

The Redfield topology on some groups of continuous functions.

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...