Definition:Topology on Extended Complex Plane

Definition

Let $\overline \C$ denote the extended complex plane.

Let the neighborhood of $\infty$ in $\overline \C$ be defined as the complement in $\overline \C$ of the closed and bounded subsets of $\C$.

Then $\overline \C$ is a topological space.

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Also see

• Results about the extended complex plane can be found here.

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): extended complex plane
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): extended complex plane