simple boundary point
For example if we let be the open unit disc, then every boundary point is a simple boundary point. This definition is useful for studying boundary behaviour of Riemann maps (maps arising from the Riemann mapping theorem), and one can prove for example the following theorem.
Suppose that is a bounded simply connected region such that every point in the boundary of is a simple boundary point, then is a Jordan curve.
- 1 John B. Conway. . Springer-Verlag, New York, New York, 1995.
|Title||simple boundary point|
|Date of creation||2013-03-22 14:23:23|
|Last modified on||2013-03-22 14:23:23|
|Last modified by||jirka (4157)|