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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 (879 views/month).[1]

Key Facts

  • dense set is a type of topological subspace[2].
  • dense set is part of list of properties of sets of reals[3].
  • dense set's Commons category is recorded as Density of the set[4].
  • dense set's maintained by WikiProject is recorded as WikiProject Mathematics[5].

Body

Definition and Type

dense set is a type of topological subspace[2].

Use and Application

dense set is part of list of properties of sets of reals[3].

Why It Matters

dense set ranks in the top 2% of general entities by monthly Wikipedia readership (879 views/month).[1] It has Wikipedia articles in 23 language editions, a strong signal of global cultural recognition.[6] It is known by 22 alternative names across languages and contexts.[7]

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.

Aggregate / graph-position facts

  1. [1] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [6] ↑ . Wikidata sitelinks. wikidata.org.
  3. [7] ↑ . 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)

Canonical URL: https://4ort.xyz/entity/dense-set · 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. 7d ago · Pi bot bot · 2026-08-12 view diff on Wikidata ↗
    Part of → —
    Part of → list of properties of sets of reals
    Subclass of → —
    Maintained by wikiproject → WikiProject Mathematics
    + 3 other properties edited (see Wikidata diff for full list)
    "/* wbremoveclaims-remove:1| */ [[Property:P373]]: Density of the set, Remove P373 to a non-existent Commons category"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.