Comparison between Confine MO-Connectedness and Connectedness, Confine MO-Countability and Countability

Abstract

The main goal of this work is to introduce a comparison between connected and confine MO-connected space, locally connected and confine MO-locally connected space, extremally disconnected and confine MO-extremally disconnected space, confine MO-first countable space and first countable space, confine MO-second countable space and second countable space. New properties and relations are introduced.