New forms of strong compactness in terms of ideals

The aim of this paper is to introduce and study new types of strong compactness, modulo an ideal, called ρI-compactness and σI-compactness. Several of their properties are presented and some effects of various kinds of functions on them are studied. We compare this new spaces with other known types...

Full description

Autores:
Pachon Rubiano, Néstor Raúl
Tipo de recurso:
Article of investigation
Fecha de publicación:
2016
Institución:
Escuela Colombiana de Ingeniería Julio Garavito
Repositorio:
Repositorio Institucional ECI
Idioma:
eng
OAI Identifier:
oai:repositorio.escuelaing.edu.co:001/1399
Acceso en línea:
https://repositorio.escuelaing.edu.co/handle/001/1399
http://dx.doi.org/10.12732/ijpam.v106i2.12
Palabra clave:
Matemáticas
Matemáticas - Fórmulas
ideal
I-compact
SI-compact
αI-compact
βI-compact
γI-compact
ideal
I-compacto
SI-compacto
αI-compacto
βI-compacto
γI-compacto
Rights
openAccess
License
https://creativecommons.org/licenses/by/4.0/
Description
Summary:The aim of this paper is to introduce and study new types of strong compactness, modulo an ideal, called ρI-compactness and σI-compactness. Several of their properties are presented and some effects of various kinds of functions on them are studied. We compare this new spaces with other known types of strong compactness modulo an ideal.