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Proyecciones (Antofagasta)

Print version ISSN 0716-0917

Proyecciones (Antofagasta) vol.39 no.5 Antofagasta  2020 


Other forms of continuity modulo an ideal

Néstor Raúl Pachón Rubiano1

1Escuela Colombiana de Ingeniería Julio Garavito, Dept of Mathematics, Bogotá, Colombia. E.mail:


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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Research supported by the Escuela Colombiana de Ingeniería Julio Garavito.


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Received: August 31, 2019; Accepted: January 31, 2020

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