\begin{definition}[Definition:Infimum/Also known as]
Particularly in the field of analysis, the infimum of a set $T$ is often referred to as the '''greatest lower bound of $T$''' and denoted $\map {\mathrm {glb} } T$ or $\map {\mathrm {g.l.b.} } T$.
Some sources refer to the '''infimum of a set''' as the '''infimum ''on'' a set'''.
Some sources introduce the notation $\ds \inf_{y \mathop \in S} y$, which may improve clarity in some circumstances.
Some older sources, applying the concept to a (strictly) decreasing real sequence, refer to an '''infimum''' as a '''lower limit'''.
\end{definition}