standard topology

Noun

• The topology of the real number system generated by a basis which consists of all open balls (in the real number system), which are defined in terms of the one-dimensional Euclidean metric.
• The topology of a Euclidean space $\backslash mathbb\{R\}^n$ such that any subset of that space is open (i.e. belonging to the topology) if it can be written as a union of open balls from that space.