Definition:Bounded Set/Unbounded

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This page is about Unbounded in the context of Ordered Set. For other uses, see Unbounded.


Let $\struct {S, \preceq}$ be an ordered set.

A subset $T \subseteq S$ is unbounded (in $S$) if and only if it is not bounded.

Also see

  • Results about unbounded sets can be found here.