On Urysohn, almost regular and semiregular functions


F. Cammaroto, G. Nordo




In this paper we introduce the notions of Urysohn, almost-regular and semiregular function. Problems of heredity have been studied for this kinds of functions. It is also shown that every almost regular Hausdorff function is an Urysohn function and that a function is regular if and only if it is almost regular and semiregular.