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.
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| Format: | Article |
| Language: | Spanish |
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Universidad Industrial de Santander
2023-06-01
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| Series: | Revista Integración |
| Subjects: | |
| Online Access: | https://revistas.uis.edu.co/index.php/revistaintegracion/article/view/14539 |
| _version_ | 1797755358855299072 |
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| author | Judy A. Kennedy |
| author_facet | Judy A. Kennedy |
| author_sort | Judy A. Kennedy |
| collection | DOAJ |
| description |
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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| first_indexed | 2024-03-12T17:45:44Z |
| format | Article |
| id | doaj.art-842a0b228b594589b89e8afbe4f770b1 |
| institution | Directory Open Access Journal |
| issn | 0120-419X 2145-8472 |
| language | Spanish |
| last_indexed | 2024-03-12T17:45:44Z |
| publishDate | 2023-06-01 |
| publisher | Universidad Industrial de Santander |
| record_format | Article |
| series | Revista Integración |
| spelling | doaj.art-842a0b228b594589b89e8afbe4f770b12023-08-03T17:24:38ZspaUniversidad Industrial de SantanderRevista Integración0120-419X2145-84722023-06-01411A really topological treatment of some aspects of Carathéodory’s theory of prime endsJudy A. Kennedy0University of Delaware 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. https://revistas.uis.edu.co/index.php/revistaintegracion/article/view/14539Carathéodory’s Theory of Prime Endshomeomorphism approximationhomeomorphism constructionindecomposable continuumSchoenflies Theoremconfluent mapping |
| spellingShingle | Judy A. Kennedy A really topological treatment of some aspects of Carathéodory’s theory of prime ends Revista Integración Carathéodory’s Theory of Prime Ends homeomorphism approximation homeomorphism construction indecomposable continuum Schoenflies Theorem confluent mapping |
| title | A really topological treatment of some aspects of Carathéodory’s theory of prime ends |
| title_full | A really topological treatment of some aspects of Carathéodory’s theory of prime ends |
| title_fullStr | A really topological treatment of some aspects of Carathéodory’s theory of prime ends |
| title_full_unstemmed | A really topological treatment of some aspects of Carathéodory’s theory of prime ends |
| title_short | A really topological treatment of some aspects of Carathéodory’s theory of prime ends |
| title_sort | really topological treatment of some aspects of caratheodory s theory of prime ends |
| topic | Carathéodory’s Theory of Prime Ends homeomorphism approximation homeomorphism construction indecomposable continuum Schoenflies Theorem confluent mapping |
| url | https://revistas.uis.edu.co/index.php/revistaintegracion/article/view/14539 |
| work_keys_str_mv | AT judyakennedy areallytopologicaltreatmentofsomeaspectsofcaratheodorystheoryofprimeends AT judyakennedy reallytopologicaltreatmentofsomeaspectsofcaratheodorystheoryofprimeends |