Approach Spaces for Near Families
James Francis Peters, A. Naimpally, R Manitoba · 2011
This article considers the problem of how to formulate a framework for the study of the nearness of collections of subsets of a set (also more tersely termed families of a set). The solution to the problem stems from recent work on approach spaces, near sets, and a specialised form of gap functional. The collection of all subsets of a set equipped with a distance function is an approach space.