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sequential space

topological space homeomorphic to a quotient of a metric space
Class type of: compactly generated space, countably generated space Q2740469

Facts

4 properties
Subclass of
compactly generated space, countably generated space[1][2]
Defining formula
[A]_{\text{seq}}= \{x\in X \exists\{a_n\}\to x, a_n\in A \}[3]
Maintained by WikiProject
WikiProject Mathematics[5]
Studied by
general topology[4]
🏷️ Also known as
en sequential space fr espace séquentiel he סגור סדרתי it Spazio sequenziale ja 列収束空間 ja 列型空間 ko 점렬 공간 nl sequentiële ruimte pl przestrzeń ciągowa ru Секвенциальное пространство uk Секвенційний простір
🔖 Identifiers · 2
Freebase ID
/m/0cgbv9
Microsoft Academic ID (discontinued)
134105735

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

🔗 Connections
Maintained by WikiProject 1
WikiProject Mathematics
Studied by 1
general topology
Subclass of 1
compactly generated space
← Different from 1
Fréchet space
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References

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

Direct Wikidata claims

  1. [1] ↑ . wikidata.org.
  2. [2] ↑ . wikidata.org.
  3. [3] ↑ . wikidata.org.
  4. [4] ↑ . wikidata.org.
  5. [5] ↑ . 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). sequential space. Retrieved November 7, 2026, from https://4ort.xyz/entity/sequential-space
MLA “sequential space.” 4ort.xyz Knowledge Graph, 4ort.xyz, 7 Nov. 2026, https://4ort.xyz/entity/sequential-space.
BibTeX @misc{4ortxyz_sequential-space_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{sequential space}}, year = {2026}, url = {https://4ort.xyz/entity/sequential-space}, note = {Accessed: 2026-11-07}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): sequential space — https://4ort.xyz/entity/sequential-space (retrieved 2026-11-07)

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