Connector theory is a generalization of topology and uniformity. Each reflexive binary relation U of a space S induces a mapping from S to 2 s wherein JC E S -> x U = {y: (x, y) E U} E 2 s . This mapping is called a connector. A uniformity on 5 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.
No takes yet. Share an insight, caveat, or question.
Nakano et al. (1975) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: