Cantor function

continuous function that is not absolutely continuous
Thing continuous_function Q938883
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Cantor function

Summary

Cantor function is a continuous function[1]. It draws 244 Wikipedia views per month (continuous_function category, ranking #1 of 3).[2]

Key Facts

  • Cantor function's image is recorded as CantorEscalier-2.svg[3].
  • Cantor function's instance of is recorded as continuous function[4].
  • Cantor function's instance of is recorded as increasing function[5].
  • Cantor function's instance of is recorded as singular function[6].
  • Cantor function's instance of is recorded as function of bounded variation[7].
  • Georg Cantor is named after Cantor function[8].
  • Cantor function's Commons category is recorded as Cantor function[9].
  • Cantor function's Freebase ID is recorded as /m/01vhg6[10].
  • Cantor function's definition domain is recorded as unit interval[11].
  • Cantor function's codomain is recorded as unit interval[12].
  • Cantor function's MathWorld ID is recorded as CantorFunction[13].
  • Cantor function's maintained by WikiProject is recorded as WikiProject Mathematics[14].
  • Cantor function's Microsoft Academic ID is recorded as 149701218[15].
  • Cantor function's OpenAlex ID is recorded as C149701218[16].

Why It Matters

Cantor function draws 244 Wikipedia views per month (continuous_function category, ranking #1 of 3).[2] It has Wikipedia articles in 16 language editions, a strong signal of global cultural recognition.[17] It is known by 7 alternative names across languages and contexts.[18]

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] . wikidata.org.
  8. [10] . Freebase Data Dumps. wikidata.org.
  9. [11] . wikidata.org.
  10. [12] . wikidata.org.
  11. [13] . wikidata.org.
  12. [14] . wikidata.org.
  13. [15] . wikidata.org.
  14. [16] . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [17] . Wikidata sitelinks. wikidata.org.
  3. [18] . 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). Cantor function. Retrieved May 3, 2026, from https://4ort.xyz/entity/cantor-function
MLA “Cantor function.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/cantor-function.
BibTeX @misc{4ortxyz_cantor-function_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Cantor function}}, year = {2026}, url = {https://4ort.xyz/entity/cantor-function}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Cantor function — https://4ort.xyz/entity/cantor-function (retrieved 2026-05-03)

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