Abstract

Let X be a locally compact space and (Y, d) be a metric space. A subfamily \({\mathcal E}\) of the space of quasicontinuous subcontinuous functions from X to Y is compact in this space equipped with the topology of uniform convergence on compact sets if and only if \({\mathcal E}\) is closed, compactly bounded and densely equiquasicontinuous. This result is a new version of Ascoli-type theorem for quasicontinuous subcontinuous functions.

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