Category:Definitions/Boundedness
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This category contains definitions related to Boundedness.
Related results can be found in Category:Boundedness.
Let $\struct {S, \preceq}$ be an ordered set.
Let $T \subseteq S$ be both bounded below and bounded above in $S$.
Then $T$ is bounded in $S$.
Subcategories
This category has the following 25 subcategories, out of 25 total.
Pages in category "Definitions/Boundedness"
The following 59 pages are in this category, out of 59 total.
B
- Definition:Bound
- Definition:Bound of Real-Valued Function
- Definition:Bound of Subset of Real Numbers
- Definition:Bounded
- Definition:Bounded Above
- Definition:Bounded Above Mapping
- Definition:Bounded Above Mapping/Unbounded
- Definition:Bounded Above Sequence
- Definition:Bounded Above Set
- Definition:Bounded Below
- Definition:Bounded Below Mapping
- Definition:Bounded Below Mapping/Unbounded
- Definition:Bounded Below Sequence
- Definition:Bounded Below Set
- Definition:Bounded Below Set/Unbounded
- Definition:Bounded Mapping
- Definition:Bounded Mapping/Unbounded
- Definition:Bounded Sequence
- Definition:Bounded Sequence/Unbounded
- Definition:Bounded Set
- Definition:Bounded Set/Unbounded
L
- Definition:Locally Bounded
- Definition:Locally Bounded Mapping
- Definition:Lower Bound
- Definition:Lower Bound of Mapping
- Definition:Lower Bound of Mapping/Real-Valued
- Definition:Lower Bound of Real Sequence
- Definition:Lower Bound of Real-Valued Function
- Definition:Lower Bound of Sequence
- Definition:Lower Bound of Sequence/Real
- Definition:Lower Bound of Set
- Definition:Lower Bound of Set/Also defined as
- Definition:Lower Bound of Set/Real Numbers
- Definition:Lower Bound of Subset of Real Numbers
S
U
- Definition:Unbounded Above
- Definition:Unbounded Above Mapping
- Definition:Unbounded Above Set
- Definition:Unbounded Below
- Definition:Unbounded Below Sequence
- Definition:Unbounded Below Set
- Definition:Unbounded Mapping
- Definition:Unbounded Sequence
- Definition:Unbounded Set
- Definition:Uniformly Bounded
- Definition:Upper Bound
- Definition:Upper Bound of Mapping
- Definition:Upper Bound of Mapping/Real-Valued
- Definition:Upper Bound of Number
- Definition:Upper Bound of Real Sequence
- Definition:Upper Bound of Real-Valued Function
- Definition:Upper Bound of Sequence
- Definition:Upper Bound of Sequence/Real
- Definition:Upper Bound of Set
- Definition:Upper Bound of Set/Also defined as
- Definition:Upper Bound of Set/Real Numbers
- Definition:Upper Bound of Subset of Real Numbers