interior

given a subset S of a topological space X, the biggest set of points in S not part of the boundary of S
Thing idempotent_function Q862761
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interior

Summary

interior is an idempotent function[1]. interior draws 137 Wikipedia views per month (idempotent_function category, ranking #1 of 3).[2]

Key Facts

  • interior's instance of is recorded as idempotent function[3].
  • interior's subclass of is recorded as topological subspace[4].
  • interior's subclass of is recorded as locus[5].
  • interior's subclass of is recorded as open set[6].
  • interior's subclass of is recorded as topological direction[7].
  • interior's opposite of is recorded as exterior[8].
  • interior's Freebase ID is recorded as /m/0fg2q[9].
  • interior's defining formula is recorded as \operatorname{int}(S) = \bigcup { U \in \operatorname{Open}(X) | S \supseteq U } = S \setminus\partial S[10].
  • interior's studied by is recorded as category theory[11].
  • interior's studied by is recorded as topology[12].
  • interior's has part is recorded as interior point[13].
  • interior's MathWorld ID is recorded as Interior[14].
  • interior's JSTOR topic ID is recorded as interior-points[15].
  • interior's nLab ID is recorded as interior[16].
  • interior's Brockhaus Enzyklopädie online ID is recorded as innerer-punkt[17].
  • interior's maintained by WikiProject is recorded as WikiProject Mathematics[18].
  • interior's Microsoft Academic ID is recorded as 28888078[19].
  • interior's Metamath statement ID is recorded as df-ntr[20].

Why It Matters

interior draws 137 Wikipedia views per month (idempotent_function category, ranking #1 of 3).[2] interior has Wikipedia articles in 21 language editions, a strong signal of global cultural recognition.[21] interior is known by 31 alternative names across languages and contexts.[22]

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.

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [21] . Wikidata sitelinks. wikidata.org.
  3. [22] . 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). interior. Retrieved May 3, 2026, from https://4ort.xyz/entity/interior
MLA “interior.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/interior.
BibTeX @misc{4ortxyz_interior_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{interior}}, year = {2026}, url = {https://4ort.xyz/entity/interior}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): interior — https://4ort.xyz/entity/interior (retrieved 2026-05-03)

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