# Article

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Keywords:
$\operatorname{UC}$ space; boundedly $\operatorname{UC}$ space; boundedly compact space; compact-open to\-po\-logy; topology of uniform convergence on bounded sets; Attouch-Wets topology; bounded proximal topology
Summary:
Following the paper [BDC1], further relations between the classical topologies on function spaces and new ones induced by hyperspace topologies on graphs of functions are introduced and further characterizations of boundedly $\operatorname{UC}$ spaces are given.
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