Trabajo Fin de Grado
Topologías en el plano digital
Autor/es | López Carmona, José Luis |
Director | Ayala Gómez, Rafael |
Departamento | Universidad de Sevilla. Departamento de Geometría y Topología |
Fecha de publicación | 2022-06-24 |
Fecha de depósito | 2023-02-21 |
Titulación | Universidad de Sevilla. Grado en Matemáticas |
Resumen | In this work we present the basic properties of the Khalimsky topology on Z
2
.
This topology is compared with the Marcus-Wyse topology, which correspond’s to
the 4-adjacency. Several kinds of continuities are studied ... In this work we present the basic properties of the Khalimsky topology on Z 2 . This topology is compared with the Marcus-Wyse topology, which correspond’s to the 4-adjacency. Several kinds of continuities are studied and compared. Finally, we introduce the Šlapal’s (pre)topology which have certain natural cycles as Jordan curves, and it’s shown that both, Khalimsky and Marcus-Wyse topologies, are quotient of the Šlapal’s topology. |
Cita | López Carmona, J.L. (2022). Topologías en el plano digital. (Trabajo Fin de Grado Inédito). Universidad de Sevilla, Sevilla. |
Ficheros | Tamaño | Formato | Ver | Descripción |
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GM LOPEZ CARMONA, JOSE LUIS.pdf | 7.276Mb | [PDF] | Ver/ | |