On Soft Pre-Compact Maps

Abstract

This paper holds to establish a soft pre-compact map and to investigate its associations with soft pre-compact maps, almost soft pre-compact maps, A-almost soft compact maps, A*-almost soft compact maps, mildly soft semi-compact maps, M-mildly soft compact maps besides M*-mildly soft com-pact maps which are utilized from the relations between their spaces under some conditions or without conditions. Consequently, the composition factors of soft pre-compact maps with soft pre-compact maps, almost soft pre-compact maps, and mildly soft pre-compact maps, A-almost soft compact maps, M-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.