Category:Set Interiors
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This category contains results about Set Interiors in the context of Topology.
Definitions specific to this category can be found in Definitions/Set Interiors.
The interior of $H$ is the union of all subsets of $H$ which are open in $T$.
That is, the interior of $H$ is defined as:
- $\ds H^\circ := \bigcup_{K \mathop \in \mathbb K} K$
where $\mathbb K = \set {K \in \tau: K \subseteq H}$.
Subcategories
This category has the following 3 subcategories, out of 3 total.
Pages in category "Set Interiors"
The following 25 pages are in this category, out of 25 total.
C
E
I
- Image of Interior of Set under Homeomorphism is Interior of Image
- Interior equals Complement of Closure of Complement
- Interior is Subset of Exterior of Exterior
- Interior is Subset of Interior of Closure
- Interior may not equal Exterior of Exterior
- Interior of Balanced Set containing Origin in Topological Vector Space is Balanced
- Interior of Cartesian Product is Product of Interiors
- Interior of Convex Set in Topological Vector Space is Convex
- Interior of Finite Intersection equals Intersection of Interiors
- Interior of Intersection may not equal Intersection of Interiors
- Interior of Open Set
- Interior of Proper Subspace of Normed Vector Space is Empty
- Interior of Subset
- Interior of Translation of Set in Topological Vector Space is Translation of Interior
- Interior of Union is not necessarily Union of Interiors
- Intersection of Interiors contains Interior of Intersection