A really topological treatment of some aspects of Carathéodory’s theory of prime ends

A homeomorphism approximation technique is applied to give (1) proofs of some theorems of C. Carathéodory, and (2) a proof of a theorem of N. Rutt. The proofs use only tools from general topology (and are new in that respect), and a generalization of a theorem of Carathéodory is obtained.

Bibliographic Details
Main Author: Judy A. Kennedy
Format: Article
Language:Spanish
Published: Universidad Industrial de Santander 2023-06-01
Series:Revista Integración
Subjects:
Online Access:https://revistas.uis.edu.co/index.php/revistaintegracion/article/view/14539