General topology Basic notions: open sets, neighbourhoods, bases Concept
Interior
Summary
The interior of a subset of a topological space is the union of all open sets inside it. It is the largest open set contained in the subset.
Where this leads
18 pages build on this one.
- Strictly convex set
- Eilenberg–Steenrod axioms
- Mairhuber–Curtis theorem
- Regular open set
- Proper cone
- Heyting algebra
- Indecomposable continuum
- Illumination problem
- Orientation of a manifold
- Steinitz theorem on convex hull interiors
- Kuratowski's closure-complement problem
- Baire property
- Tessellation
- Residuated lattice
- Excision theorem
- Polar polytope
- Mayer–Vietoris sequence
- Convex body
Further reading
- Web https://en.wikipedia.org/wiki/Interior_(topology), lead section
About this page
| Tag | 0RZH6W98HK |
|---|---|
| URI | m2://0RZH6W98HK |
| Aliases | interior-of-a-set |
| Kind | concept |
| Writing | W1 stated |
| MSC | 54A05 |
| 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)
- edge specializes both: the more general notions and the special cases (0 of 1)
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What links here
Definitions
Used by
- Strictly convex set
- Eilenberg–Steenrod axioms
- Mairhuber–Curtis theorem
- Regular open set
- Proper cone
- Heyting algebra
- Indecomposable continuum
- Illumination problem
- Steinitz theorem on convex hull interiors
- Kuratowski's closure-complement problem
- Baire property
- Tessellation
- Excision theorem
- Polar polytope
- Mayer–Vietoris sequence
- Convex body