Abstract:ABSTRACT. Let X be a locally compact space. A subfamily F of the space D (X, R) of densely continuous forms with nonempty compact values from X to R equipped with the topology τ UC of uniform convergence on compact sets is compact if and only if sup(F ) : F ∈ F is compact in the space Q(X, R) of quasicontinuous functions from X to R equipped with the topology τ UC .
IntroductionQuasicontinuous functions were introduced by K e m p i s t y in 1932 in [14]. They are important in many areas of mathematics. They fo… 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.