extended boundary

Definition.

Suppose that ${\mathbb{C}}$ is the complex plane and $G\subset{\mathbb{C}}$ . The extended boundary of $G$ denoted $\partial_{\infty}G$ is defined as the boundary of $G$ plus the point at infinity if in fact $G$ is unbounded.

The extended boundary of $G$ is really the boundary of $G$ in the extended complex plane (the one-point compactification of ${\mathbb{C}}$ ).

References

1 John B. Conway. . Springer-Verlag, New York, New York, 1978.

Title	extended boundary
Canonical name	ExtendedBoundary
Date of creation	2013-03-22 14:12:11
Last modified on	2013-03-22 14:12:11
Owner	jirka (4157)
Last modified by	jirka (4157)
Numerical id	7
Author	jirka (4157)
Entry type	Definition
Classification	msc 30-00
Classification	msc 54-00
Related topic	BoundaryInTopology