dense set

subset whose closure is the whole space
Thing general Q673444
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dense set

Summary

dense set ranks in the top 2% of general entities by monthly Wikipedia readership (191 views/month).[1]

Key Facts

  • dense set's subclass of is recorded as topological subspace[2].
  • dense set's part of is recorded as list of properties of sets of reals[3].
  • dense set's Commons category is recorded as Density of the set[4].
  • dense set's Freebase ID is recorded as /m/0hx3p[5].
  • dense set's defining formula is recorded as \operatorname{cl}_X(A)=X[6].
  • dense set's Google Knowledge Graph ID is recorded as /g/121bkjj6[7].
  • dense set's MathWorld ID is recorded as Dense[8].
  • dense set's Treccani ID is recorded as insieme-denso[9].
  • dense set's nLab ID is recorded as dense subspace[10].
  • dense set's maintained by WikiProject is recorded as WikiProject Mathematics[11].
  • dense set's Microsoft Academic ID is recorded as 84509959[12].
  • dense set's Brilliant Wiki ID is recorded as dense-set[13].
  • dense set's in defining formula is recorded as X[14].
  • dense set's in defining formula is recorded as A[15].
  • dense set's in defining formula is recorded as \operatorname{cl}[16].
  • dense set's Online PWN Encyclopedia ID is recorded as 3905210[17].
  • dense set's PlanetMath ID is recorded as DenseSet[18].
  • dense set's Great Russian Encyclopedia portal ID is recorded as vsiudu-plotnoe-mnozhestvo-1c1abc[19].

Why It Matters

dense set ranks in the top 2% of general entities by monthly Wikipedia readership (191 views/month).[1] It has Wikipedia articles in 23 language editions, a strong signal of global cultural recognition.[20] It is known by 22 alternative names across languages and contexts.[21]

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] . Freebase Data Dumps. wikidata.org.
  5. [6] . wikidata.org.
  6. [7] . wikidata.org.
  7. [8] . wikidata.org.
  8. [9] . wikidata.org.
  9. [10] . wikidata.org.
  10. [11] . wikidata.org.
  11. [12] . wikidata.org.
  12. [13] . wikidata.org.
  13. [14] . wikidata.org.
  14. [15] . wikidata.org.
  15. [16] . wikidata.org.
  16. [17] . wikidata.org.
  17. [18] . wikidata.org.
  18. [19] . wikidata.org.

Aggregate / graph-position facts

  1. [1] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [20] . Wikidata sitelinks. wikidata.org.
  3. [21] . 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). dense set. Retrieved April 10, 2026, from https://4ort.xyz/entity/dense-set
MLA “dense set.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/dense-set.
BibTeX @misc{4ortxyz_dense-set_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{dense set}}, year = {2026}, url = {https://4ort.xyz/entity/dense-set}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): dense set — https://4ort.xyz/entity/dense-set (retrieved 2026-04-10)

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