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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 37 Wikipedia views per month (connected_space category, ranking #1 of 1).[2]

Key Facts

  • topologist's sine curve's instance of is recorded as connected space[3].
  • topologist's sine curve's instance of is recorded as second-countable space[4].
  • topologist's sine curve's instance of is recorded as metric space[5].
  • topologist's sine curve's maintained by WikiProject is recorded as WikiProject Mathematics[6].

Body

Definition and Type

Recorded instance of include connected space[3], second-countable space[4], and metric space[5].

Why It Matters

topologist's sine curve draws 37 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.[7] It is known by 6 alternative names across languages and contexts.[8]

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.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [7] ↑ . Wikidata sitelinks. wikidata.org.
  3. [8] ↑ . 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:

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. 25d ago · 1234qwer1234qwer4 · 2026-07-30 view diff on Wikidata ↗
    Instance of → —
    Maintained by wikiproject → WikiProject Mathematics
    Instance of → connected space, second-countable space, metric space
    Aliases → —
    + 1 other property edited (see Wikidata diff for full list)
    "/* wbsetclaim-create:2||1 */ [[Property:P373]]: Topologist's sine curve"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.