metric space

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

Summary

metric space is a mathematical concept[1]. It ranks in the top 3% of mathematical_concept entities by monthly Wikipedia readership (1,736 views/month).[2]

Key Facts

  • metric space's instance of is recorded as mathematical concept[3].
  • metric space is a type of pseudometric space[4].
  • metric space is a type of semimetric space[5].
  • metric space's Commons category is recorded as Metric geometry[6].
  • metric space comprises metrizable space[7].
  • metric space comprises metric function[8].
  • metric space's topic's main category is recorded as Category:Metric spaces[9].
  • metric space's described by source is recorded as Great Soviet Encyclopedia (1926–1947)[10].
  • metric space's described by source is recorded as Great Soviet Encyclopedia (1926–1947)[11].
  • metric space's Stack Exchange tag is recorded as https://math.stackexchange.com/tags/metric-spaces[12].
  • metric space's Stack Exchange tag is recorded as https://mathoverflow.net/tags/metric-spaces[13].
  • metric space's Stack Exchange tag is recorded as https://physics.stackexchange.com/tags/metric-space[14].
  • metric space's has characteristic is recorded as Hausdorff dimension[15].
  • metric space's on focus list of Wikimedia project is recorded as Wikipedia:Vital articles/Level/4[16].
  • metric space's maintained by WikiProject is recorded as WikiProject Mathematics[17].

Body

Definition and Type

metric space's instance of is recorded as mathematical concept[3]. Recorded subclass of include pseudometric space[4] and semimetric space[5].

Use and Application

Components include metrizable space[7] and metric function[8].

Why It Matters

metric space ranks in the top 3% of mathematical_concept entities by monthly Wikipedia readership (1,736 views/month).[2] It has Wikipedia articles in 28 language editions, a strong signal of global cultural recognition.[18] It is known by 32 alternative names across languages and contexts.[19]

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.
  14. [16] . wikidata.org.
  15. [17] . wikidata.org.

Class ancestry

  1. [1] . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [18] . Wikidata sitelinks. wikidata.org.
  3. [19] . 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 May 3, 2026, from https://4ort.xyz/entity/metric-space
MLA “metric space.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 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: 2026-05-03}}
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 2026-05-03)

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. 5d 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 */ [[Property:P2347]]: 27753, mv to monolingual text names on YSO statements"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.