General topology Countability axioms Concept
Separable space
Summary
A separable space is a topological space with a countable dense subset.
Where this leads
33 pages build on this one.
- Krylov–Bogolyubov theorem
- Ergodic decomposition
- Namioka--Phelps
- Sorgenfrey plane
- Determinacy
- Analytic set
- Hardy–Littlewood maximal inequality
- Projective determinacy
- Prokhorov's theorem
- Standard Borel space
- Vitali covering lemma
- Bounded sequences ℓ∞
- Space of convergent sequences
- Hardy–Littlewood–Sobolev inequality
- Variational principle for topological entropy
- Separable Banach space
- Skorokhod's representation theorem
- Open embedding theorem for Hilbert manifolds
- Unique ergodicity
- Gaussian measure
- Projective hierarchy
- Baire space of sequences
- Paratopological group
- Schauder basis
- Moore plane
- Lebesgue differentiation theorem
- Weyl–von Neumann theorem
- Polish space
- Axiom of determinacy
- Space of null sequences
- Sorgenfrey line
- Abstract Wiener space
- Anderson–Kadec theorem
Further reading
- Web https://en.wikipedia.org/wiki/Separable_space, lead section
About this page
| Tag | 0Z2P41SVDP |
|---|---|
| URI | m2://0Z2P41SVDP |
| Kind | concept |
| Writing | W1 stated |
| MSC | 54D65 |
| 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
Special cases
Definitions
Used by
- Sorgenfrey plane
- Prokhorov's theorem
- Standard Borel space
- Vitali covering lemma
- Bounded sequences ℓ∞
- Separable Banach space
- Skorokhod's representation theorem
- Open embedding theorem for Hilbert manifolds
- Gaussian measure
- Baire space of sequences
- Schauder basis
- Moore plane
- Weyl–von Neumann theorem
- Polish space
- Sorgenfrey line
- Abstract Wiener space
- Anderson–Kadec theorem