Source: wikibot/overlapping-interval-topology
= Overlapping interval topology
{wiki=Overlapping_interval_topology}
Overlapping interval topology is a specific type of topology that can be defined on the real numbers (or any other set) based on the concept of intervals. In this topology, a set is considered open if it can be expressed as a union of overlapping intervals. \#\#\# Definition Let \\(X\\) be the set of real numbers \\(\\mathbb\{R\}\\).