Category:Bounded Above Mappings
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This category contains results about Bounded Above Mappings.
Definitions specific to this category can be found in Definitions/Bounded Above Mappings.
Let $f: S \to T$ be a mapping whose codomain is an ordered set $\struct {T, \preceq}$.
Then $f$ is bounded above on $S$ by the upper bound $H$ if and only if:
- $\forall x \in S: \map f x \preceq H$
That is, if and only if $f \sqbrk S = \set {\map f x: x \in S}$ is bounded above by $H$.
Subcategories
This category has only the following subcategory.
B
- Bounded Above Real-Valued Functions (empty)