Other forms of continuity modulo an ideal





I-continuous, I-compact, I-normal


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.


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How to Cite

N. R. Pachón Rubiano, “Other forms of continuity modulo an ideal”, Proyecciones (Antofagasta, On line), vol. 39, no. 5, pp. 1221-1250, May 2020.