Abstract

PACHON RUBIANO, Néstor Raúl. Other forms of continuity modulo an ideal. Proyecciones (Antofagasta) [online]. 2020, vol.39, n.5, pp.1221-1250. ISSN 0716-0917.  http://dx.doi.org/10.22199/issn.0717-6279-2020-05-0075.

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.

Keywords : ℐ-continuous; ℐ -compact; ℐ -normal.

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