bounded set

set is called bounded, if it is, in a certain sense, of finite size
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bounded set

Summary

bounded set ranks in the top 2% of general entities by monthly Wikipedia readership (87 views/month).[1]

Key Facts

  • bounded set's subclass of is recorded as set[2].
  • bounded set's part of is recorded as metric space[3].
  • bounded set's part of is recorded as list of types of sets[4].
  • bounded set's opposite of is recorded as unbounded set[5].
  • bounded set's Freebase ID is recorded as /m/0cxyv[6].
  • bounded set's has characteristic is recorded as boundedness[7].
  • bounded set's defining formula is recorded as \exists r\in\mathbb R^+\forall x,y\in X\colon d(x,y)<r<sup id="cite-C8" class="cite-ref" title="bounded set — defining formula (P2534): \exists r\in\mathbb R^+\forall x,y\in X\colon d(x,y)[8].
  • bounded set's MathWorld ID is recorded as BoundedSet[9].
  • bounded set's nLab ID is recorded as bounded set[10].
  • bounded set's maintained by WikiProject is recorded as WikiProject Mathematics[11].
  • bounded set's Microsoft Academic ID is recorded as 3357877[12].
  • bounded set's in defining formula is recorded as d[13].
  • bounded set's Online PWN Encyclopedia ID is recorded as 3950319[14].
  • bounded set's Treccani's Enciclopedia della Matematica ID is recorded as insieme-limitato[15].

Why It Matters

bounded set ranks in the top 2% of general entities by monthly Wikipedia readership (87 views/month).[1] It has Wikipedia articles in 23 language editions, a strong signal of global cultural recognition.[16] It is known by 25 alternative names across languages and contexts.[17]

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] . Freebase Data Dumps. 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.

Aggregate / graph-position facts

  1. [1] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [16] . Wikidata sitelinks. wikidata.org.
  3. [17] . 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). bounded set. Retrieved April 10, 2026, from https://4ort.xyz/entity/bounded-set
MLA “bounded set.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/bounded-set.
BibTeX @misc{4ortxyz_bounded-set_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{bounded set}}, year = {2026}, url = {https://4ort.xyz/entity/bounded-set}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): bounded set — https://4ort.xyz/entity/bounded-set (retrieved 2026-04-10)

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