On Indexed Topology

  • R.Geetha Jeyalakshmi, K. Dass


A structure on a non empty set X is a collection of subsets of X. Recently the authors introduced and studied hyper relations, micro relations on structures, structure union and structure intersection. This study reveals that these relations and operations do not helpful to introduce a topology of structures. Therefore quite recently the authors introduced the notions of indexed structures, indexed relations and indexed operations. The purpose of this paper is to introduce a topological structure known as indexed topology on indexed structures and to extend the recent concepts in general topology to this indexed topology.