Density Topology in Romanovski Spaces

Abstract

Goffman and Waterman [S] introduced a new topology in the real number space and showed that the approximately continuous functions are continuous in this topology. They called it the density topology or in short d-topology. Subsequently, various properties of d-topology in the real number space were proved by various authors {See for example [6], [13], [14], [18]}. Martin [12] extended the concept of density topology in a measure space and proved some of its topological properties. The concept of density topology was further extended to topological group in [1].