"standard topology" meaning in English

See standard topology in All languages combined, or Wiktionary

Noun

Head templates: {{en-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. Tags: uncountable Categories (topical): Topology
    Sense id: en-standard_topology-en-noun-wW7CAc8g Categories (other): English entries with incorrect language header Disambiguation of English entries with incorrect language header: 70 30 Topics: mathematics, sciences, topology
  2. (topology) 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. Tags: uncountable Categories (topical): Topology
    Sense id: en-standard_topology-en-noun-DxGogKEX Topics: mathematics, sciences, topology

Download JSON data for standard topology meaning in English (2.1kB)

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This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-05 from the enwiktionary dump dated 2024-05-02 using wiktextract (f4fd8c9 and c9440ce). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.