Abstract:
The properties of the weakly set-open topology on the set $C(X)$ of all real-valued functions defined on a Tikhonov space $X$ are studied. The relation between the $\mathbb R$-compact-open topology and the well-known set-open and uniform topologies on the set $C(X)$ is investigated.
Keywords:space of continuous functions, set-open topology, topology of uniform convergence on a family of sets.
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