Generalizations of Urysohn's lemma for some subclasses of Darboux functions

摘要

In this paper we present generalizations of the classical Urysohn's lemma for the families of extra strong Swiatkowski functions, upper semicontinuous extra strong Swiatkowski functions, upper semicontinuous strong Swiatkowski functions and Darboux quasi-continuous upper semicontinuous functions. (C) 2016 Elsevier B.V. All rights reserved.