extended boundary


Suppose that is the complex planeMathworldPlanetmath and G. 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 planeMathworldPlanetmath (the one-point compactification of ).


  • 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