Semi-developable spaces and quotient images of metric spaces
Semi-developable spaces and quotient images of metric spaces
In this paper semi-developable spaces are defined and, among T 0 -spaces, are shown to be the same as the semimetrizable spaces.Strongly semi-developable spaces are defined in a natural way and proven to coincide with an important class of semi-metric spaces, namely those in which "Cauchy sequences suffice".These spaces are …