Revista Integración, temas de matemáticas.

Revista Integración, temas de matemáticas

Vol. 41 No. 1 (2023): Revista Integración, temas de matemáticas
Research and Innovation Articles

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

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  • Judy A. Kennedy
Judy A. Kennedy
University of Delaware
DOI: https://doi.org/10.18273/revint.v41n1-2023004

Published 2023-06-07

Keywords

  • Carathéodory’s Theory of Prime Ends,
  • homeomorphism approximation,
  • homeomorphism construction,
  • indecomposable continuum,
  • Schoenflies Theorem,
  • confluent mapping,
  • monotone mapping
    • ...More
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How to Cite

Kennedy, J. A. (2023). A really topological treatment of some aspects of Carathéodory’s theory of prime ends. Revista Integración, Temas De matemáticas, 41(1), 57–67. https://doi.org/10.18273/revint.v41n1-2023004

Copyright (c) 2023 Revista Integración, temas de matemáticas

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

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.

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