Supremum of Subset of Real Numbers/Examples/Example 4
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Example of Supremum of Subset of Real Numbers
Consider the set $A$ defined as:
- $A = \set {3, 4}$
Then the supremum of $A$ is $4$.
However, $A$ contains no element $x$ such that:
- $3 < x < 4$.
Sources
- 1977: K.G. Binmore: Mathematical Analysis: A Straightforward Approach ... (previous) ... (next): $\S 2$: Continuum Property: Exercise $\S 2.10 \ (5)$