4. Special subsets
4.1 Increased and decreased subsets
Definition (bounded above and bounded below). In a partially ordered space a non-empty subset X is bounded above if it has a majorant, a non-empty subset X is bounded below if it has a minorant, and a non-empty subset X is bounded if it has both a minorant and a majorant (or equivalently, if it is contained in an interval).
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Special subsets
Ordered spaces II
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