$ \omega $-$ \alpha $-open sets $ \omega $-$ \alpha $-continuity in bitopological spaces

Document Type : Research Paper


Estudiante de Doctorado en Matematicas, Universidad de Antioquia, Medellin, Colombia


The purposes of this article are to introduce and characterize the notions of $ (i,j) $-$ \omega $-$ \alpha $-open sets in bitopological spaces. Besides, It introduces and studies the concepts of $ (i,j) $-$ \omega $-$ \alpha $-continuous functions. Furthermore, $ (i,j) $-$ \omega $-$ \alpha $-connected and $ (i,j) $-$ \omega $-$ \alpha $-set-connected functions are defined in bitopological spaces and some of their properties are studied.