Category:Definitions/Unbounded Below Mappings

This category contains definitions related to Unbounded Below Mappings.
Related results can be found in Category:Unbounded Below Mappings.

Let $f: S \to T$ be a mapping whose codomain is an ordered set $\struct {T, \preceq}$.

Then $f$ is unbounded below (in $T \ $) if and only if there exists no $L \in S$ such that:

$\forall x \in S: L \preceq \map f x$