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.

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Meanings

nounstandard topology (uncountable)
  1. uncountablemathematicsThe 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. uncountablemathematicsThe topology of a Euclidean space ℝⁿ 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.
Cite this entry
APA

standard topology. (n.d.). In WatkinsX Dictionary. Retrieved November 5, 2026, from https://dictionary.watkinsx.com/word/standard%20topology

MLA

“standard topology.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/standard%20topology. Accessed November 5, 2026.

Chicago

WatkinsX Dictionary, s.v. “standard topology,” accessed November 5, 2026, https://dictionary.watkinsx.com/word/standard%20topology.

Source: standard topology on Wiktionary, CC BY-SA 4.0.