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metric space

set equipped with a metric (distance function)
Intangible mathematical_concept Q180953
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Summary

metric space is a mathematical concept[1]. It ranks in the top 3% of mathematical concept entities by monthly Wikipedia readership (4,548 views/month).[2]

Key Facts

  • Subclass of: pseudometric space[3], semimetric space[4]
  • Commons category: Metric geometry[5]
  • Has part(s): metrizable space[6], metric function[7]
  • Topic's main category: Category:Metric spaces[8]
  • Described by source: Great Soviet Encyclopedia (1926–1947)[9]
  • Stack Exchange tag: https://math.stackexchange.com/tags/metric-spaces[10], https://mathoverflow.net/tags/metric-spaces[11], https://physics.stackexchange.com/tags/metric-space[12]
  • Has characteristic: Hausdorff dimension[13]
  • On focus list of Wikimedia project: Wikipedia:Vital articles/Level/4[14]
  • Maintained by WikiProject: WikiProject Mathematics[15]

Why It Matters

metric space has Wikipedia articles in 28 language editions, a strong signal of global cultural recognition.[16] It is known by 61 alternative names across languages and contexts.[17]

Related Entities

Kazimierz Kuratowski

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [3] ↑ . wikidata.org.
  2. [4] ↑ . wikidata.org.
  3. [5] ↑ . wikidata.org.
  4. [6] ↑ . wikidata.org.
  5. [7] ↑ . wikidata.org.
  6. [8] ↑ . wikidata.org.
  7. [9] ↑ . wikidata.org.
  8. [10] ↑ . wikidata.org.
  9. [11] ↑ . wikidata.org.
  10. [12] ↑ . wikidata.org.
  11. [13] ↑ . wikidata.org.
  12. [14] ↑ . wikidata.org.
  13. [15] ↑ . wikidata.org.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [16] ↑ . Wikidata sitelinks. wikidata.org.
  3. [17] ↑ . Wikidata aliases. wikidata.org.

📑 Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). metric space. Retrieved October 17, 2026, from https://4ort.xyz/entity/metric-space
MLA “metric space.” 4ort.xyz Knowledge Graph, 4ort.xyz, 17 Oct. 2026, https://4ort.xyz/entity/metric-space.
BibTeX @misc{4ortxyz_metric-space_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{metric space}}, year = {2026}, url = {https://4ort.xyz/entity/metric-space}, note = {Accessed: 2026-10-17}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): metric space — https://4ort.xyz/entity/metric-space (retrieved 2026-10-17)

Canonical URL: https://4ort.xyz/entity/metric-space · Last refreshed:

Edit History

Rolling log of changes to this entity's Wikidata record. Values shown reflect the current state of each edited property — follow the history link to see the precise diff for any edit.

  1. 9w ago · DeltaBot bot · 2026-08-12 view diff on Wikidata ↗
    Topic has template → Q140733664
    "/* wbsetclaim-create:2||1 */ Topic has template: Q140733664, adding inverse claim"
  2. 15w ago · Mynus grey · 2026-07-02 view diff on Wikidata ↗
    P14534 → MetricSpace
    "/* wbcreateclaim-create:1| */ P14534: MetricSpace, #quickstatements; #temporary_batch_1783013068346"
  3. 16w ago · Charp238 · 2026-06-22 view diff on Wikidata ↗
    Femiwiki id → 5559
    "/* wbsetclaim-create:2||1 */ Femiwiki id: 5559"
  4. 18w ago · Jindřich Rubeš · 2026-06-12 view diff on Wikidata ↗
    Svkkl authority id → 0212474-metricke-prostory
    "/* wbcreateclaim-create:1| */ Svkkl authority id: 0212474-metricke-prostory, [[:toollabs:quickstatements/#/batch/259493|batch #259493]]"
  5. 21w ago · Twofivesixbot bot · 2026-05-18 view diff on Wikidata ↗
    Instance of → —
    Great russian encyclopedia online id (2017) → 2209395
    Aliases → —
    Subclass of → pseudometric space, semimetric space
    + 9 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaim-update-qualifiers:1||1|3 */ Yso id: 27753, mv to monolingual text names on YSO statements"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.