In this paper we deals with a general concept of classification of subsets of a topological space X with respect to a given nonempty system E ⊂ 2 X \ {∅}. Using system E, the notions of E-Volterra and weakly E-Volterra spaces are introduced which covers classical Volterra and weakly Volterra spaces as well as irresolvable spaces.
The paper deals with a few questions concerning a soft topological space. The main goal is to point out that any soft topological space is homeomorphic to a topological space (A × X, τ A×X ) where τ A×X is a topology on the product A × X, consequently many soft topological notions and results can be derived from general topology.
In this paper we deals with a general concept of classification of sets in a topological space X with respect to a given nonempty system E of nonempty subsets of X. Using system E a generalization of the classical topological notions of closed, perfect, scattered, dense in itself and nowhere dense sets is introduced and studied.
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