Abstract
Let X be a topological space, (Y,d) be a metric space, Q(X,Y) be the space of quasicontinuous functions from X to Y and τUC be the topology of uniform convergence on compacta. We study first countability, metrizability and complete metrizability of (Q(X,Y),τUC). We will apply our results to characterize sequentially compact subsets of (Q(X,Y),τUC).
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