Definition:Upper Bound

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[edit] Definition

Let $\left({S; \preceq}\right)$ be a poset.

Let $T \subseteq S$ be bounded above in $S$ by an element $M \in S$ .

Then $M$ is an upper bound for $T$ .

[edit] Also see

[edit] Sources

T.S. Blyth: Set Theory and Abstract Algebra (1975): $\S 7$
W.A. Sutherland: Introduction to Metric and Topological Spaces (1975): $\S 1.1$
K.G. Binmore: Mathematical Analysis: A Straightforward Approach (1977): $\S 2.2$
Thomas A. Whitelaw: An Introduction to Abstract Algebra (1978): $\S 10$

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Category: Definitions/Order Theory

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