Definition:Universal Bounds
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Definition
Let $\left({S, \preceq}\right)$ be an ordered set.
Let $S$ have a smallest element, $\bot$.
Let $S$ have a greatest element, $\top$.
Then $\bot$ and $\top$ are the universal bounds of $S$.
Sources
- 1967: Garrett Birkhoff: Lattice Theory (3rd ed.) ... (next): $\S \text I.1$