Vitali set

subset of [0,1] whose intersection with any translation of the set of rationals is a singleton; elementary example of a non-Lebesgue-measurable set of reals
Intangible mathematical_concept Q257387
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Vitali set

Summary

Vitali set is a mathematical concept[1]. It draws 146 Wikipedia views per month (mathematical_concept category, ranking #123 of 1,007).[2]

Key Facts

  • Vitali set's instance of is recorded as mathematical concept[3].
  • Giuseppe Vitali is named after Vitali set[4].
  • Vitali set's subclass of is recorded as uncountable set[5].
  • Vitali set's time of discovery or invention is recorded as +1905-00-00T00:00:00Z[6].
  • Vitali set's Freebase ID is recorded as /m/026trz[7].
  • Vitali set's defining formula is recorded as V\subset[0,1]\land\forall r\in\mathbb R\exists!v\in V\colon v-r\in\mathbb Q[8].
  • Vitali set's maintained by WikiProject is recorded as WikiProject Mathematics[9].
  • Vitali set's Microsoft Academic ID is recorded as 70749283[10].
  • Vitali set's in defining formula is recorded as V[11].
  • Vitali set's in defining formula is recorded as \mathbb R[12].
  • Vitali set's in defining formula is recorded as \mathbb Q[13].
  • Vitali set's Great Russian Encyclopedia portal ID is recorded as mnozhestvo-vitali-dac600[14].

Why It Matters

Vitali set draws 146 Wikipedia views per month (mathematical_concept category, ranking #123 of 1,007).[2] It has Wikipedia articles in 16 language editions, a strong signal of global cultural recognition.[15]

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] . Freebase Data Dumps. wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . wikidata.org.
  10. [12] . wikidata.org.
  11. [13] . wikidata.org.
  12. [14] . wikidata.org.

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [15] . Wikidata sitelinks. 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). Vitali set. Retrieved May 3, 2026, from https://4ort.xyz/entity/vitali-set
MLA “Vitali set.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/vitali-set.
BibTeX @misc{4ortxyz_vitali-set_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Vitali set}}, year = {2026}, url = {https://4ort.xyz/entity/vitali-set}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Vitali set — https://4ort.xyz/entity/vitali-set (retrieved 2026-05-03)

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