Definition:Bounded Above Sequence/Unbounded

This page is about Unbounded Above in the context of Sequence. For other uses, see Unbounded Above.

Definition

Let $\sequence {x_n}$ be a sequence in $T$.

$\sequence {x_n}$ is unbounded above if and only if there exists no $M$ in $T$ such that:

$\forall i \in \N: x_i \preceq M$