Abstract:The aim of this paper is to study the Fréchet-Urysohn property of the space Q p (X, R) of real-valued quasicontinuous functions, defined on a Hausdorff space X, endowed with the pointwise convergence topology.It is proved that under Suslin's Hypothesis, for an open Whyburn space X, the space Q p (X, R) is Fréchet-Urysohn if and only if X is countable. In particular, it is true in the class of first-countable regular spaces X.In ZF C, it is proved that for a metrizable space X, the space Q p (X, R) is Fréchet-U… Show more
Set email alert for when this publication receives citations?
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.