Abstract
AbstractThe purpose of this chapter was to study the concept of topological structure formed by soft multi-sets. The notion of relative complement of soft multi-set, soft multi-point, soft multi-open set, soft multi-closed set, soft multi-basis, soft multi-sub-basis, neighbourhoods and neighbourhood system, interior and closure of a soft multi-set, etc., is to be introduced, and their basic properties are also to be investigated. It is seen that a soft multi-topological space gives a parameterised family of topological spaces. Lastly, the concept of soft multi-compact space is also introduced. KeywordsSoft multi-setSoft multi-topologySoft multi-pointSoft multi-open setSoft multi-closed setNeighbourhood of a soft multi-setInterior of a soft multi-setClosure of a soft multi-setSoft multi-basisSoft multi-compact space
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