projectively extended real line

extension of the set of the real numbers by a point denoted ∞
Thing set_of_numbers Q2558939
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projectively extended real line

Summary

projectively extended real line is a set of numbers[1]. It draws 58 Wikipedia views per month (set_of_numbers category, ranking #4 of 5).[2]

Key Facts

  • projectively extended real line's image is recorded as Real projective line.svg[3].
  • projectively extended real line's instance of is recorded as set of numbers[4].
  • projectively extended real line's instance of is recorded as compact space[5].
  • projectively extended real line's part of is recorded as extended real number line[6].
  • projectively extended real line's part of is recorded as extended complex plane[7].
  • projectively extended real line's said to be the same as is recorded as real projective line[8].
  • projectively extended real line's Freebase ID is recorded as /m/03zbdn[9].
  • projectively extended real line's different from is recorded as extended real number line[10].
  • projectively extended real line's defining formula is recorded as \widehat{\R}=\R\cup{\infty}[11].
  • projectively extended real line's BabelNet ID is recorded as 00133291n[12].
  • projectively extended real line's union of is recorded as list of values as qualifiers[13].
  • projectively extended real line's MathWorld ID is recorded as ProjectivelyExtendedRealNumbers[14].
  • projectively extended real line's set cardinality is recorded as cardinality of the continuum[15].
  • projectively extended real line's maintained by WikiProject is recorded as WikiProject Mathematics[16].
  • projectively extended real line's in defining formula is recorded as \widehat{\R}[17].
  • projectively extended real line's in defining formula is recorded as \R[18].
  • projectively extended real line's in defining formula is recorded as \infty[19].
  • projectively extended real line's in defining formula is recorded as \cup[20].

Why It Matters

projectively extended real line draws 58 Wikipedia views per month (set_of_numbers category, ranking #4 of 5).[2] It has Wikipedia articles in 5 language editions, a strong signal of global cultural recognition.[21] It is known by 5 alternative names across languages and contexts.[22]

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] . BabelNet. wikidata.org.
  11. [13] . wikidata.org.
  12. [14] . wikidata.org.
  13. [15] . wikidata.org.
  14. [16] . wikidata.org.
  15. [17] . wikidata.org.
  16. [18] . wikidata.org.
  17. [19] . wikidata.org.
  18. [20] . wikidata.org.

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [21] . Wikidata sitelinks. wikidata.org.
  3. [22] . 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). projectively extended real line. Retrieved May 3, 2026, from https://4ort.xyz/entity/projectively-extended-real-line
MLA “projectively extended real line.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/projectively-extended-real-line.
BibTeX @misc{4ortxyz_projectively-extended-real-line_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{projectively extended real line}}, year = {2026}, url = {https://4ort.xyz/entity/projectively-extended-real-line}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): projectively extended real line — https://4ort.xyz/entity/projectively-extended-real-line (retrieved 2026-05-03)

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