General topology Compactness Concept
Locally compact space
Summary
A locally compact space is a topological space in which each point has a compact neighbourhood. Such spaces look like compact spaces near each point, as does.
Where this leads
17 pages build on this one.
- Proper group action
- Fukushima correspondence between Dirichlet forms and processes
- Space of functions vanishing at infinity
- Brelot space
- Borel–Moore homology
- Riesz–Markov–Kakutani representation theorem
- Beurling–Deny formula
- Conley index
- Homology manifold
- Existence and uniqueness of Haar measure
- Locally finite measure
- Adele ring
- Modular function
- Alexandrov space
- Local field
- Harmonic space
- Locally compact abelian group
Further reading
- Web https://en.wikipedia.org/wiki/Locally_compact_space, lead section
About this page
| Tag | 0FE2SB8WVJ |
|---|---|
| URI | m2://0FE2SB8WVJ |
| Kind | concept |
| Writing | W1 stated |
| MSC | 54D45 |
| 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
- Proper group action
- Fukushima correspondence between Dirichlet forms and processes
- Space of functions vanishing at infinity
- Brelot space
- Borel–Moore homology
- Riesz–Markov–Kakutani representation theorem
- Beurling–Deny formula
- Conley index
- Homology manifold
- Locally finite measure
- Adele ring
- Alexandrov space
- Local field
- Harmonic space
- Locally compact abelian group