Word.ws English Dictionary

standard topology

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.

Noun

standard topology (uncountable)

  1. 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. The 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.

Questions about standard topology

What does standard topology mean?
Standard topology means 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.
What part of speech is standard topology?
Standard topology is a noun.

Words near standard topology in the dictionary

  1. standard stars
  2. standard temperature and pressure
  3. standard temperatures and pressures
  4. standard theory
  5. standard time
  6. standard topology
  7. standard transmission
  8. standard transmissions
  9. standard varieties
  10. standard variety
  11. Standard Zone Time

Source and license

Adapted from Wiktionary: standard topology (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

Last updated:

Cite this entry: “standard topology.” Word.ws, https://word.ws/standard_topology. Based on Wiktionary, CC BY-SA 4.0.