Category:Examples of Set Interiors
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This category contains examples of Interior in the context of Topology.
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 only the following subcategory.
Pages in category "Examples of Set Interiors"
The following 17 pages are in this category, out of 17 total.
I
- Interior (Topology)/Examples
- Interior (Topology)/Examples/Closed Real Interval in Closed Unbounded Real Interval
- Interior of Closed Real Interval is Open Real Interval
- Interior of Closed Set of Particular Point Space
- Interior of Closure of Interior of Union of Adjacent Open Intervals
- Interior of Set of Rational Numbers in Real Numbers is Empty
- Interior of Set of Real Numbers in Complex Numbers is Empty
- Interior of Singleton in Real Number Line is Empty
- Interior of Subset of Double Pointed Topological Space
- Interior of Subset of Indiscrete Space
- Interior of Union of Adjacent Open Intervals
K
- Kuratowski's Closure-Complement Problem/Closure of Interior
- Kuratowski's Closure-Complement Problem/Closure of Interior of Closure
- Kuratowski's Closure-Complement Problem/Closure of Interior of Complement
- Kuratowski's Closure-Complement Problem/Interior
- Kuratowski's Closure-Complement Problem/Interior of Closure
- Kuratowski's Closure-Complement Problem/Interior of Closure of Interior