extended boundary
Definition.
Suppose that ℂ is the complex plane and G⊂ℂ. The extended boundary of G denoted ∂∞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 ℂ).
References
- 1 John B. Conway. . Springer-Verlag, New York, New York, 1978.
Title | extended boundary |
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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 |