simply connected space

topological space which has no holes through it
Thing general Q912058
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simply connected space

Summary

simply connected space ranks in the top 2% of general entities by monthly Wikipedia readership (171 views/month).[1]

Key Facts

  • simply connected space's subclass of is recorded as path-connected space[2].
  • simply connected space's subclass of is recorded as locally simply connected space[3].
  • simply connected space's Freebase ID is recorded as /m/02lc04[4].
  • simply connected space's defining formula is recorded as \pi_1(X) = 1[5].
  • simply connected space's MathWorld ID is recorded as SimplyConnected[6].
  • simply connected space's nLab ID is recorded as simply connected space[7].
  • simply connected space's maintained by WikiProject is recorded as WikiProject Mathematics[8].
  • simply connected space's Microsoft Academic ID is recorded as 167204820[9].
  • simply connected space's OpenAlex ID is recorded as C167204820[10].
  • simply connected space's Metamath statement ID is recorded as df-sconn[11].

Why It Matters

simply connected space ranks in the top 2% of general entities by monthly Wikipedia readership (171 views/month).[1] It has Wikipedia articles in 23 language editions, a strong signal of global cultural recognition.[12] It is known by 41 alternative names across languages and contexts.[13]

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [2] . wikidata.org.
  2. [3] . wikidata.org.
  3. [4] . Freebase Data Dumps. wikidata.org.
  4. [5] . wikidata.org.
  5. [6] . wikidata.org.
  6. [7] . wikidata.org.
  7. [8] . wikidata.org.
  8. [9] . wikidata.org.
  9. [10] . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.
  10. [11] . wikidata.org.

Aggregate / graph-position facts

  1. [1] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [12] . Wikidata sitelinks. wikidata.org.
  3. [13] . 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). simply connected space. Retrieved April 11, 2026, from https://4ort.xyz/entity/simply-connected-space
MLA “simply connected space.” 4ort.xyz Knowledge Graph, 4ort.xyz, 11 Apr. 2026, https://4ort.xyz/entity/simply-connected-space.
BibTeX @misc{4ortxyz_simply-connected-space_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{simply connected space}}, year = {2026}, url = {https://4ort.xyz/entity/simply-connected-space}, note = {Accessed: 2026-04-11}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): simply connected space — https://4ort.xyz/entity/simply-connected-space (retrieved 2026-04-11)

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