closed set

set whose complement is an open set
Thing type_of_set Q320357
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closed set

Summary

closed set is a type of set[1]. It draws 191 Wikipedia views per month (type_of_set category, ranking #4 of 9).[2]

Key Facts

  • closed set's instance of is recorded as type of set[3].
  • closed set's subclass of is recorded as Fσ set[4].
  • closed set's part of is recorded as list of types of sets[5].
  • closed set's opposite of is recorded as open set[6].
  • closed set's has part is recorded as boundary[7].
  • closed set's has part is recorded as interior[8].
  • closed set's Freebase ID is recorded as /m/0cqg4[9].
  • closed set's Encyclopædia Britannica Online ID is recorded as topic/closed-set[10].
  • closed set's studied by is recorded as topology[11].
  • closed set's MathWorld ID is recorded as ClosedSet[12].
  • closed set's Larousse ID is recorded as divers/fermé/51653[13].
  • closed set's maintained by WikiProject is recorded as WikiProject Mathematics[14].
  • closed set's Microsoft Academic ID is recorded as 164953516[15].
  • closed set's Brilliant Wiki ID is recorded as closed-sets[16].
  • closed set's ProofWiki ID is recorded as Definition:Closed_Set[17].
  • closed set's Online PWN Encyclopedia ID is recorded as 3893711[18].
  • closed set's Encyclopedia of Mathematics article ID is recorded as Closed_set[19].
  • closed set's PlanetMath ID is recorded as ClosedSet[20].
  • closed set's OpenAlex ID is recorded as C164953516[21].
  • closed set's ScienceDirect topic ID is recorded as computer-science/closed-subspace[22].
  • closed set's ScienceDirect topic ID is recorded as mathematics/closed-subspace[23].
  • closed set's Great Russian Encyclopedia portal ID is recorded as zamknutoe-mnozhestvo-2f939a[24].
  • closed set's Metamath statement ID is recorded as df-cld[25].

Why It Matters

closed set draws 191 Wikipedia views per month (type_of_set category, ranking #4 of 9).[2] It has Wikipedia articles in 23 language editions, a strong signal of global cultural recognition.[26] It is known by 17 alternative names across languages and contexts.[27]

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] . Freebase Data Dumps. 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.
  16. [18] . wikidata.org.
  17. [19] . wikidata.org.
  18. [20] . wikidata.org.
  19. [21] . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.
  20. [22] . wikidata.org.
  21. [23] . wikidata.org.
  22. [24] . wikidata.org.
  23. [25] . wikidata.org.

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [26] . Wikidata sitelinks. wikidata.org.
  3. [27] . 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). closed set. Retrieved May 3, 2026, from https://4ort.xyz/entity/closed-set
MLA “closed set.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/closed-set.
BibTeX @misc{4ortxyz_closed-set_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{closed set}}, year = {2026}, url = {https://4ort.xyz/entity/closed-set}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): closed set — https://4ort.xyz/entity/closed-set (retrieved 2026-05-03)

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