topology

(structure) collection of open subsets of a topological space
Thing general Q18786106
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topology

Summary

Key Facts

  • topology's subclass of is recorded as set system[1].
  • topology's part of is recorded as topological space[2].
  • topology's different from is recorded as topology[3].
  • topology's defining formula is recorded as \begin{aligned} &\emptyset,\ \mathcal{X} \in \mathcal{T} \ &\bigcup_{i\in I} U_i \in \mathcal{T} \quad\forall\,U_i\in \mathcal{T} \ &\bigcap_{i=1}^n U_i \in \mathcal{T} \quad\forall n\in\N,\ \forall\,U_i\in \mathcal{T} \end{aligned}[4].
  • topology's maintained by WikiProject is recorded as WikiProject Mathematics[5].
  • topology's in defining formula is recorded as \mathcal{T}[6].
  • topology's in defining formula is recorded as U_i[7].
  • topology's in defining formula is recorded as \mathcal{X}[8].

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APA 4ort.xyz Knowledge Graph. (2026). topology. Retrieved May 7, 2026, from https://4ort.xyz/entity/topology-q18786106
MLA “topology.” 4ort.xyz Knowledge Graph, 4ort.xyz, 7 May. 2026, https://4ort.xyz/entity/topology-q18786106.
BibTeX @misc{4ortxyz_topology-q18786106_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{topology}}, year = {2026}, url = {https://4ort.xyz/entity/topology-q18786106}, note = {Accessed: 2026-05-07}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): topology — https://4ort.xyz/entity/topology-q18786106 (retrieved 2026-05-07)

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