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In this work, a definition of different types of paracompact action was presented, which are as nearly paracompact, compact, fully normal and metacompact. Sufficient conditions were given for the spaces to ensure the fulfillment of these definitions. It has also been proven that each type of paracompact action maps exists for subspaces when they exist between the same spaces. Finally, the conditions necessary were determined to prove a type of paracompat action for a space from another space associated with it. [ABSTRACT FROM AUTHOR]

The incentive for this paper holds to establish novel soft topological spaces namely soft star compact space and monotonically soft star compact space which lead us, firstly, to popularize present comparative properties utilizing soft compact topology and forms of soft topologies as an instance soft locally compact, soft Lindelöf further soft paracompact. Secondly, to obtain a relationship between them. In redefined soft topological spaces discussed sundry of their properties, we extended soft compact topological spaces to soft star compact topological spaces under certain conditions and discuss their basic properties as well as examples. [ABSTRACT FROM AUTHOR]