Connector theory is a
generalization of topology and uniformity. Each reflexive binary relation
U of a space S induces a mapping from S to 2s wherein x ∈ S → xU ={y : (x,y) ∈ U}∈ 2s. This mapping is called a connector. A uniformity on S is a
set of connectors which meets certain conditions. The results in this paper
include a necessary-sufficient condition for a connector-set to induce a unique
topology, generalizations of continuous mappings and uniformly continuous
mappings and characterizations of the connector-sets which correspond to a
specific type of topology, for instance, a compact topology, a pseudo-compact
topology.
