Nearness structures have been defined as a means of unifying various topological concepts.
In this paper we show that the collection of all nearness structures on a set X forms a complete lattice and give necessary and sufficient conditions for a nea...
Nearness structures have been defined as a means of unifying various topological concepts.
In this paper we show that the collection of all nearness structures on a set X forms a complete lattice and give necessary and sufficient conditions for a nearness space to be metrizable.