General topology Basic notions: open sets, neighbourhoods, bases Concept
Basis of a topology
Summary
A basis of a topology is a family of open sets such that every open set is a union of members of the family. A basis lets you describe a topology by a small set of simple open sets, such as open intervals or open balls.
Where this leads
3 pages build on this one.
Further reading
- Web https://en.wikipedia.org/wiki/Base_(topology), lead section
About this page
| Tag | 0NA0732YAG |
|---|---|
| URI | m2://0NA0732YAG |
| Aliases | base-of-a-topology, topological-basis |
| Kind | concept |
| Writing | W1 stated |
| MSC | 54A05 |
| Specializes | Subbasis |
| 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)
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