standard topology English

Meaning standard topology meaning

What does standard topology mean?

standard topology noun

— (topology) 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.

— (topology) The topology of a Euclidean space \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.