Real-valued functions of a real variable which are continuous with respect to the density topology on both the domain and the range are called density continuous. A typical continuous function is nowhere density continuous. The same is true of a typical homeomorphism of the real line. A subset of the real line is the set of points of discontinuity of a density continuous function if and only if...

abstract background: continuation of delivery care by a midwife, and establishing a relationship between the midwife and the delivering woman, is so important for women, and preserving such relationship increases woman’s calmness and self-confi dence. the current research aims at studying the effect of midwifery continuing care during delivery on delivery outcomes. materials and methods: this s...

Abstract. A remarkable result due to Kou, Liu & Luo states that the condition of continuity for a dcpo can be split into quasi-continuity and meet-continuity. Their argument contained a gap, however, which is probably why the authors of the monograph Continuous Lattices and Domains used a different (and fairly sophisticated) sequence of lemmas in order to establish the result. In this note we s...