Limits of simply continuous functions (Q1803985)

If \({\mathcal F}\) is a class of functions defined on the topological space \(X\) with values in the metric space \(Y\), we denote by \(U({\mathcal F})\), \(D({\mathcal F})\) and \(P({\mathcal F})\) the collection of all uniform, quasiuniform and pointwise limits of sequences taken from \({\mathcal F}\), respectively. The aim of this paper is to investigate the sets \(U({\mathcal F})\), \(D({\mathcal F})\) and \(P({\mathcal F})\) for the class of simply continuous functions.