Sorgenfrey line

real line endowed with the lower limit topology
Thing hausdorff_space Q117921997
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Sorgenfrey line

Summary

Sorgenfrey line is a Hausdorff space[1]. It draws 8 Wikipedia views per month (hausdorff_space category, ranking #3 of 3).[2]

Key Facts

  • Sorgenfrey line's instance of is recorded as Hausdorff space[3].
  • Sorgenfrey line's instance of is recorded as perfectly normal space[4].
  • Sorgenfrey line's instance of is recorded as separable space[5].
  • Sorgenfrey line's instance of is recorded as first-countable space[6].
  • Sorgenfrey line's instance of is recorded as Lindelöf space[7].
  • Sorgenfrey line's instance of is recorded as strongly zero-dimensional Tychonoff space[8].
  • Robert Sorgenfrey is named after Sorgenfrey line[9].
  • Sorgenfrey line's has part is recorded as lower limit topology[10].
  • Sorgenfrey line's ProofWiki ID is recorded as Definition:Sorgenfrey_Line[11].
  • Sorgenfrey line's PlanetMath ID is recorded as SorgenfreyLine[12].
  • Sorgenfrey line's Great Russian Encyclopedia portal ID is recorded as priamaia-zorgenfreia-2a6ed8[13].
  • Sorgenfrey line's underlying structure is recorded as set of real numbers[14].

Why It Matters

Sorgenfrey line draws 8 Wikipedia views per month (hausdorff_space category, ranking #3 of 3).[2] It has Wikipedia articles in 8 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] . 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). Sorgenfrey line. Retrieved May 3, 2026, from https://4ort.xyz/entity/sorgenfrey-line
MLA “Sorgenfrey line.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/sorgenfrey-line.
BibTeX @misc{4ortxyz_sorgenfrey-line_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Sorgenfrey line}}, year = {2026}, url = {https://4ort.xyz/entity/sorgenfrey-line}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Sorgenfrey line — https://4ort.xyz/entity/sorgenfrey-line (retrieved 2026-05-03)

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