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closure

in a topological space, the smallest closed set containing a given set
Thing closure_operator Q320346
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closure

Summary

closure is a closure operator[1]. closure draws 2,229 Wikipedia views per month (closure_operator category, ranking #1 of 1).[2]

Key Facts

  • closure's instance of is recorded as closure operator[3].
  • closure is a type of topological subspace[4].
  • closure's described at URL is recorded as https://www.spektrum.de/lexikon/mathematik/abgeschlossene-huelle/489[5].
  • closure's facet of is recorded as topology[6].
  • closure's facet of is recorded as mathematical analysis[7].
  • closure's described by source is recorded as Q140169500[8].
  • closure's different from is recorded as Domknięcie[9].
  • closure's different from is recorded as Itxitura[10].
  • closure's studied by is recorded as general topology[11].
  • closure's has part is recorded as adherent point[12].
  • closure's maintained by WikiProject is recorded as WikiProject Mathematics[13].

Body

Definition and Type

closure's instance of is recorded as closure operator[3]. closure is a type of topological subspace[4].

Why It Matters

closure draws 2,229 Wikipedia views per month (closure_operator category, ranking #1 of 1).[2] closure has Wikipedia articles in 19 language editions, a strong signal of global cultural recognition.[14] closure is known by 43 alternative names across languages and contexts.[15]

Related Entities

mathematical analysis

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.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [14] ↑ . Wikidata sitelinks. wikidata.org.
  3. [15] ↑ . 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). closure. Retrieved May 3, 2026, from https://4ort.xyz/entity/closure-q320346
MLA “closure.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/closure-q320346.
BibTeX @misc{4ortxyz_closure-q320346_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{closure}}, year = {2026}, url = {https://4ort.xyz/entity/closure-q320346}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): closure — https://4ort.xyz/entity/closure-q320346 (retrieved 2026-05-03)

Canonical URL: https://4ort.xyz/entity/closure-q320346 · 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. 3d ago · AddyLockPool · 2026-09-19 view diff on Wikidata ↗
    Maintained by wikiproject → WikiProject Mathematics
    Different from → Domknięcie, Itxitura
    Studied by → general topology
    Instance of → closure operator
    + 7 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaim-create:2||1 */ [[Property:P1343]]: [[Q140169500]]"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.