Certain Types of Soft Compact Maps

Abstract— This paper holds to establish a soft compact map and to investigate its associations with soft compact maps, almost soft compact maps, besides mildly soft compact maps which are utilized from the relations between their spaces under some conditions. Consequently, the composition factors of soft compact maps with soft compact maps, almost soft compact maps, and mildly soft 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.