standard topology

English

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Topology/Topological Spaces

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Noun

standard topology (uncountable)

1. (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.
2. (topology) The topology of a Euclidean space ${\displaystyle \mathbb {R} ^{n}}$ 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.