topologist's sine curve

connected but not path-connected space; the graph of the function sin(1/𝑥) on the half-open interval (0,1] together with the origin
Thing connected_space Q1148367
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topologist's sine curve

Summary

topologist's sine curve is a connected space[1]. It draws 138 Wikipedia views per month (connected_space category, ranking #1 of 1).[2]

Key Facts

  • topologist's sine curve's image is recorded as Topologist's sine curve.svg[3].
  • topologist's sine curve's instance of is recorded as connected space[4].
  • topologist's sine curve's instance of is recorded as second-countable space[5].
  • topologist's sine curve's instance of is recorded as metric space[6].
  • topologist's sine curve's Freebase ID is recorded as /m/01qr7p[7].
  • topologist's sine curve's defining formula is recorded as T = \left{ \left( x, \sin \tfrac{1}{x} \right ) : x \in (0,1] \right} \cup {(0,0)}[8].
  • topologist's sine curve's MathWorld ID is recorded as TopologistsSineCurve[9].
  • topologist's sine curve's nLab ID is recorded as topologist's sine curve[10].
  • topologist's sine curve's maintained by WikiProject is recorded as WikiProject Mathematics[11].
  • topologist's sine curve's Microsoft Academic ID is recorded as 74517535[12].
  • topologist's sine curve's in defining formula is recorded as T[13].
  • topologist's sine curve's in defining formula is recorded as \sin[14].
  • topologist's sine curve's Namuwiki ID is recorded as 위상수학자의 사인곡선[15].

Why It Matters

topologist's sine curve draws 138 Wikipedia views per month (connected_space category, ranking #1 of 1).[2] It has Wikipedia articles in 11 language editions, a strong signal of global cultural recognition.[16] It is known by 6 alternative names across languages and contexts.[17]

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.
  13. [15] . wikidata.org.

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . 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). topologist's sine curve. Retrieved May 3, 2026, from https://4ort.xyz/entity/topologist-s-sine-curve
MLA “topologist's sine curve.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/topologist-s-sine-curve.
BibTeX @misc{4ortxyz_topologist-s-sine-curve_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{topologist's sine curve}}, year = {2026}, url = {https://4ort.xyz/entity/topologist-s-sine-curve}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): topologist's sine curve — https://4ort.xyz/entity/topologist-s-sine-curve (retrieved 2026-05-03)

Canonical URL: https://4ort.xyz/entity/topologist-s-sine-curve · Last refreshed: