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sober space

topological space whose topology is fully captured by its lattice of open sets
Class type of: Kolmogorov space Q8778429

Facts

1 property
Subclass of
Kolmogorov space[1]
🏷️ Also known as
en sober space en sober topological space de nüchterner Raum es espacio sobrio fr espace sobre ja ソーバー空間 ja Sober 空間 ja 穏健空間 ko 차분한 공간 pt espaço sóbrio pt espaço topológico sóbrio ru собранное пространство
🔖 Identifiers · 4
Freebase ID
/m/02vgx0
Microsoft Academic ID (discontinued)
29778573
NLab ID
sober topological space
ProofWiki ID
Definition:Sober_Space

Report an error or request removal Lineage (PROV-JSON)

🔗 Connections
Examples 1
pseudocircle
Subclass of 1
Kolmogorov space
Subtypes 1
Hausdorff space
← Underlying structure 1
scheme
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References

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Direct Wikidata claims

  1. [1] ↑ . wikidata.org.

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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). sober space. Retrieved November 6, 2026, from https://4ort.xyz/entity/sober-space
MLA “sober space.” 4ort.xyz Knowledge Graph, 4ort.xyz, 6 Nov. 2026, https://4ort.xyz/entity/sober-space.
BibTeX @misc{4ortxyz_sober-space_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{sober space}}, year = {2026}, url = {https://4ort.xyz/entity/sober-space}, note = {Accessed: 2026-11-06}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): sober space — https://4ort.xyz/entity/sober-space (retrieved 2026-11-06)

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