Definition:Compact Space/Metric Space/Complex
< Definition:Compact Space | Metric Space(Redirected from Definition:Compact Subset of Complex Plane)
Jump to navigation
Jump to search
Definition
Let $D$ be a subset of the complex plane $\C$.
Then $D$ is compact (in $\C$) if and only if:
- $D$ is closed in $\C$
and
- $D$ is bounded in $\C$.
Sources
- 1981: Murray R. Spiegel: Theory and Problems of Complex Variables (SI ed.) ... (previous) ... (next): $1$: Complex Numbers: Point Sets: $4.$