Investigation on Soft Semi-Compact Maps

Abstract

Abstract— This paper holds to establish a soft semi-compact map and to investigate its associations with soft semi-compact maps, almost soft semi-compact maps, besides mildly soft semi-compact maps which are utilized from the relations between their spaces under some conditions. Consequently, the composition factors of soft compact maps with soft semi-compact maps, almost soft semi-compact maps, and mildly soft semi-compact maps are studied based on the previous association between them. Many examples are given to explain the relationships between the topologies and relations of the soft set.