closure operator

mathematical operator
Thing general Q10564851
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closure operator

Summary

closure operator ranks in the top 2% of general entities by monthly Wikipedia readership (58 views/month).[1]

Key Facts

  • closure operator's subclass of is recorded as extensive function[2].
  • closure operator's subclass of is recorded as monotonic function[3].
  • closure operator's subclass of is recorded as idempotent function[4].
  • closure operator's subclass of is recorded as set function[5].
  • closure operator's subclass of is recorded as set-valued function[6].
  • closure operator's opposite of is recorded as interior operator[7].
  • closure operator's Freebase ID is recorded as /m/02fxcq[8].
  • closure operator's topic's main category is recorded as Category:Closure operators[9].
  • closure operator's nLab ID is recorded as closure operator[10].
  • closure operator's Microsoft Academic ID is recorded as 160771489[11].
  • closure operator's OpenAlex ID is recorded as C160771489[12].

Why It Matters

closure operator ranks in the top 2% of general entities by monthly Wikipedia readership (58 views/month).[1] It has Wikipedia articles in 8 language editions, a strong signal of global cultural recognition.[13] It is known by 7 alternative names across languages and contexts.[14]

References

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

Direct Wikidata claims

  1. [2] . wikidata.org.
  2. [3] . wikidata.org.
  3. [4] . wikidata.org.
  4. [5] . wikidata.org.
  5. [6] . wikidata.org.
  6. [7] . wikidata.org.
  7. [8] . Freebase Data Dumps. wikidata.org.
  8. [9] . wikidata.org.
  9. [10] . wikidata.org.
  10. [11] . wikidata.org.
  11. [12] . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.

Aggregate / graph-position facts

  1. [1] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [13] . Wikidata sitelinks. wikidata.org.
  3. [14] . 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 operator. Retrieved April 11, 2026, from https://4ort.xyz/entity/closure-operator
MLA “closure operator.” 4ort.xyz Knowledge Graph, 4ort.xyz, 11 Apr. 2026, https://4ort.xyz/entity/closure-operator.
BibTeX @misc{4ortxyz_closure-operator_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{closure operator}}, year = {2026}, url = {https://4ort.xyz/entity/closure-operator}, note = {Accessed: 2026-04-11}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): closure operator — https://4ort.xyz/entity/closure-operator (retrieved 2026-04-11)

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