General topology Metrization Concept
Metrizable space
Summary
A topological space is metrizable when its topology comes from some metric. Metrization theorems give conditions on the topology alone that make a space metrizable.
Where this leads
15 pages build on this one.
- Long line
- Brouwer's characterization of the Cantor space
- Sorgenfrey plane
- Absolute neighborhood retract
- Fort space
- Urysohn metrization theorem
- Nagata–Smirnov metrization theorem
- Birkhoff–Kakutani theorem
- Paratopological group
- Bing metrization theorem
- Cantor algebra
- Cantor space
- Algorithmic randomness
- Sorgenfrey line
- Normal Moore space problem
Further reading
- Web https://en.wikipedia.org/wiki/Metrizable_space, lead section
About this page
| Tag | 091GJ3FYD7 |
|---|---|
| URI | m2://091GJ3FYD7 |
| Aliases | metrisable-space |
| Kind | concept |
| Writing | W1 stated |
| MSC | 54E35 |
| 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
- Long line
- Brouwer's characterization of the Cantor space
- Absolute neighborhood retract
- Fort space
- Urysohn metrization theorem
- Nagata–Smirnov metrization theorem
- Birkhoff–Kakutani theorem
- Bing metrization theorem
- Cantor space
- Sorgenfrey line
- Normal Moore space problem