Supernearness, a common concept of supertopologies and nearness

This paper deals with a common generalization of nearness spaces as defined by Herrlich in 1974 and supertopological spaces as defined by Doitchinov in 1964. We call the so obtained spaces supernearness spaces, and they are closely related to topological extensions. er we are going to characterize those supernearness spaces which can be extended to topological ones.