Topological proofs of some purely topological consequences of Caratheodory’s theory of prime ends. (English) Zbl 0506.57005

Mather, John N.

Sel. Stud.: Physics-astrophysics, mathematics, history of science, Vol. dedic. A. Einstein, 225-255 (1982).

MSC:

57N05	Topology of the Euclidean \(2\)-space, \(2\)-manifolds (MSC2010)
57N50	\(S^{n-1}\subset E^n\), Schoenflies problem
30F99	Riemann surfaces
54E52	Baire category, Baire spaces

Keywords:

prime end compactification of open subsets of surfaces; Schoenflies theorem