Other forms of continuity modulo an ideal
Author
Pachón Rubiano, Néstor Raúl
Full text
https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/372210.22199/issn.0717-6279-2020-05-0075
Abstract
The topic analized in this paper is the continuity modulo an ideal. We use the open-I sets to introduce new forms of weak continuity. Some basic properties of C-continuous and D-continuous functions will be investigated, as well as some applications related to compactness and separability. All the results obtained in this work constitute generalizations of well-known results of the general topology. We prove that these new concepts are independent of other forms of weak continuity, modulo an ideal, introduced by Abd El-Monsef, Özkurt, Çobankaya and Kaniewski.