General topology Basic notions: open sets, neighbourhoods, bases Concept
Nowhere dense set
Summary
A nowhere dense subset of a topological space is a set whose closure has empty interior. Such a set is not dense in any nonempty open set.
Where this leads
5 pages build on this one.
Further reading
- Web https://en.wikipedia.org/wiki/Nowhere_dense_set, lead section
About this page
| Tag | 0VQYCCQVJ5 |
|---|---|
| URI | m2://0VQYCCQVJ5 |
| Kind | concept |
| Writing | W1 stated |
| MSC | 54E52 |
| Same as |
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What this page needs for W2
- edge instance_of in: at least two examples (1 of 2)
- edge not_instance_of in: at least one non-example (0 of 1)
- edge specializes both: the more general notions and the special cases (0 of 1)
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What links here
Definitions
Used by
- Modification of a complex space
- Oka's normalization theorem
- Conley's fundamental theorem of dynamical systems
- Hironaka's resolution for complex spaces
- Baire property