General topology Countability axioms Concept
Second-countable space
Summary
A topological space is second-countable when its topology has a countable basis. This condition limits the size of the topology and holds for Euclidean spaces.
Where this leads
13 pages build on this one.
Further reading
- Web https://en.wikipedia.org/wiki/Second-countable_space, lead section
About this page
| Tag | 03PPNCM9GG |
|---|---|
| URI | m2://03PPNCM9GG |
| Aliases | second-axiom-of-countability, completely-separable-space |
| Kind | concept |
| Writing | W1 stated |
| MSC | 54D70 |
| Specializes | First-countable space, Separable 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)
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