A prime end describes an approach to the boundary of a simply connected domain through a nested sequence of crosscuts. A conformal map induces a correspondence between prime ends, even when the Euclidean boundary does not have a continuous one-to-one parametrization. This is the natural boundary interpretation of the endpoints and growing tip of a Loewner chain.
Articles by others on the same topic
In mathematics, particularly in the field of complex analysis, the term "prime end" refers to a concept used in the study of conformal mappings and, more generally, in the theory of Riemann surfaces and potential theory. The notion was introduced by the mathematician Henri Poincaré. **Prime Ends**: Prime ends can be thought of as a way to extend the notion of boundary points in a domain in the complex plane.