Between closed and Ig-closed sets

The concept of closed sets is a central object in general topology. In order to extend many of important properties of closed sets to a larger families, Norman Levine initiated the study of generalized closed sets. In this paper we introduce, via ideals, new generalizations of closed subsets, which are strong forms of the Ig-closed sets, called ρIg-closed sets and closed-I sets. We present some properties and applications of these new sets and compare the ρIg-closed sets and the closed-I sets with the g-closed sets introduced by Levine. We show that I-closed and closed-I are independent concepts, as well as I * -closed sets and closed-I concepts.

• Autores: Pachon Rubiano, Néstor Raúl
• Tipo de recurso: Article of investigation
• Fecha de publicación: 2018
• Institución: Escuela Colombiana de Ingeniería Julio Garavito
• Repositorio: Repositorio Institucional ECI
• Idioma: eng
• OAI Identifier: oai:repositorio.escuelaing.edu.co:001/1393
• Acceso en línea: https://repositorio.escuelaing.edu.co/handle/001/1393
• Palabra clave: Mateméticas; Acciones de grupos (Matemáticas); g-closed; Ig-closed; I-compact; I-normal; I-QHC; ρC(I)-compact.; g-closed; Ig-closed; I-compact; I-normal; I-QHC; ρC(I)-compact.
• Rights: openAccess
• License: https://creativecommons.org/licenses/by/4.0/