General topology Constructions of spaces Concept
Subspace topology
Summary
The subspace topology is the topology that a subset of a topological space gets from the whole space. Its open sets are the intersections of the subset with the open sets of the whole space.
Where this leads
16 pages build on this one.
- Completely normal space
- Homotopy fiber
- Quasi-projective variety
- Homotopy extension property
- Local homeomorphism
- Tychonoff plank
- Topology of pointwise convergence
- Relative homology
- Relative homotopy
- Palais–Smale theory of critical points
- Loop space
- Whitney sum
- Topology of uniform convergence
- Path space fibration
- Covering space
- Deformation retract
Further reading
- Web https://en.wikipedia.org/wiki/Subspace_topology, lead section
About this page
| Tag | 0WS9P12FQR |
|---|---|
| URI | m2://0WS9P12FQR |
| Aliases | induced-topology, relative-topology |
| Kind | concept |
| Writing | W1 stated |
| MSC | 54B05 |
| Same as |
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What this page needs for W2
- edge instance_of in: at least two examples (0 of 2)
- edge not_instance_of in: at least one non-example (0 of 1)
- edge specializes both: the more general notions and the special cases (0 of 1)
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