Topology¶
Bradley, T., Bryson, T., & Terilla, J. (2020). Topology: A Categorical Approach, chapter 1 §1.2. MIT Press.
Cited by¶
1 citation across 1 artifact.
Each citation links to the sentence it supports in the citing article.
Domain-specific¶
- Subspace Topology
- Given a topological space (X, τ) and a subset Y, the subspace topology on Y contains exactly the sets U∩Y where U is open in X. Openness is therefore relative: a set may be open in Y even when it is not open in X. This construction equips any subset with a topology determined by the ambient space.
This sourceThe three frozen Wikipedia records are one canonical page plus two redirects, used only as discovery provenance.
- Given a topological space (X, τ) and a subset Y, the subspace topology on Y contains exactly the sets U∩Y where U is open in X. Openness is therefore relative: a set may be open in Y even when it is not open in X. This construction equips any subset with a topology determined by the ambient space.
Verification¶
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Registry ID ref:539dd0297813 · see in the full table