Category:Examples of Suprema
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This category contains examples of Supremum of Set.
Let $\struct {S, \preccurlyeq}$ be an ordered set.
Let $T \subseteq S$.
An element $c \in S$ is the supremum of $T$ in $S$ if and only if:
- $(1): \quad c$ is an upper bound of $T$ in $S$
- $(2): \quad c \preccurlyeq d$ for all upper bounds $d$ of $T$ in $S$.
Pages in category "Examples of Suprema"
The following 14 pages are in this category, out of 14 total.
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- Supremum of Subset of Real Numbers/Examples
- Supremum of Subset of Real Numbers/Examples/Example 1
- Supremum of Subset of Real Numbers/Examples/Example 2
- Supremum of Subset of Real Numbers/Examples/Example 3
- Supremum of Subset of Real Numbers/Examples/Example 4
- Supremum of Subset of Real Numbers/Examples/Example 5
- Supremum of Subset of Real Numbers/Examples/Example 6
- Supremum of Subset of Real Numbers/Examples/Example 7
- Supremum of Subset of Real Numbers/Examples/Example 8
- Supremum of Subset of Real Numbers/Examples/Left Half Open Interval from 0 to 1
- Supremum of Subset of Real Numbers/Examples/Strictly Negative Real Numbers