In mathematics, and especially general topology, the interlocking interval topology is an example of a topology on the set , i.e. the set of all positive real numbers that are not positive whole numbers.
The open sets in this topology are taken to be the whole set S, the empty set â , and the sets generated by
The sets generated by X<sub>n</sub> will be formed by all possible unions of finite intersections of the X<sub>n</sub>.