Abstract: Velicko [1968] introduced the concepts of θ - closure and θ - interior operations. The collection of all θ - open sets in a topological space X forms a topology on X. In this paper we ...

ABSTRACT: In this paper, we introduce and study the relationship between two different notions of transitive maps, namely topological α-transitive maps, topological θ-transitive maps and investigate ...

Atsuji has internally characterized those metric spaces X for which each real-valued continuous function on X is uniformly continuous as follows: (1) the set X' of limit points of X is compact, and (2 ...

We adapt the study of hyperspaces and function spaces from classical topology to digital topology. We define digital hyperspaces and digital function graphs, and study some of their relationships and ...

We give digital analogues of classical theorems of topology for continuous functions defined on spheres, for digital simple closed curves. In particular, we show the following. ? A digital simple ...

The main purpose of our project is to study spaces of so-called continuous and Lipschitz functions—special kind of mathematical spaces consisting of “regular” and “nice” functions—in the context of ...

Abstract: This paper presents a new expendable boost DC-DC converter design with continuous input and output currents. The voltage gain and voltage-current stresses on the semiconductors are the same ...