Linked from

The 10 pages that link to Subspace topology, each with the reason it gives.

• Topological spaceBroader topic: It shows how a space's topology induces structure on each of its subsets.

• Connected spaceRelated: Connectedness of a subset is evaluated using its inherited subspace topology.

• Boundary (topology)Related: A subset's boundary can change when its ambient space changes.

• Product topologyCompared with: It restricts an existing topology to a subset, rather than assembling one from projections.

• Basis (topology)Broader topic: Intersecting ambient basis members gives a basis for the subspace.

• Tietze extension theoremRelated: Continuity on the closed subset is understood using its inherited topology.

• General topologyBroader topic: It explains how topological structure passes to subsets.

• Tube lemmaRelated: The compact slice inherits its topology from the product when the open cover is formed.

• Closed-subgroup theoremRelated: Embeddedness requires the subgroup’s topology to match this inherited topology.

• Excision theoremRelated: The excised set and the pair's subspaces carry their inherited topologies.