General topology Separation axioms Concept
Normal space
Summary
A normal space is a topological space in which any two disjoint closed sets can be put into disjoint open sets. In normal spaces, there are many continuous real functions, by Urysohn's lemma.
Where this leads
10 pages build on this one.
Further reading
- Web https://en.wikipedia.org/wiki/Normal_space, lead section
About this page
| Tag | 0NSR9V8TED |
|---|---|
| URI | m2://0NSR9V8TED |
| Aliases | t4-space |
| Kind | concept |
| Writing | W1 stated |
| MSC | 54D15 |
| Specializes | Topological space |
| 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)
The writing levels say how complete the text of a page is. They do not measure its truth.
What links here
Definitions
Used by
- Completely normal space
- Sorgenfrey plane
- Tychonoff space
- Dieudonné's theorem on paracompact Hausdorff spaces
- Tychonoff plank
- Perfectly normal space
- Dowker space
- Arens–Fort space
- Moore plane
- Normal Moore space problem