Infimum of Subset of Real Numbers/Examples/Example 3

Example of Infimum of Subset of Real Numbers

The subset $V$ of the real numbers $\R$ defined as:

$V := \set {x \in \R: x > 0}$

admits an infimum:

$\inf V = 0$

Sources

• 1977: K.G. Binmore: Mathematical Analysis: A Straightforward Approach ... (previous) ... (next): $\S 2$: Continuum Property: $\S 2.5$: Examples: $\text{(iii)}$