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- W2555421950 abstract "A subset A of topological space (X,�) is said to be !�−open(3) if for every x∈ A there exists an �−open set U containing x such that U− A is a countable. In this paper, we introduce and study new class of function which is !�−continuous functions by using the notion of !�−open sets. This new class of function defines as a function f : (X,�)→ (Y,�) from a topological space (X,�) into a topological space (Y,�) is !�−Continuous function if and only if for each x∈ X and each open set V in (Y,�) containing f (x) there exists an !�−open set U containing x such that f (U)⊆ V. We give some characterizations of !�−Continuous functions, define !�−irresolute and !�−open function. Finally, we find relationship between these type of function. 2010 Mathematics Subject Classifications: 54C05, 54C08, 54C10" @default.
- W2555421950 created "2016-11-30" @default.
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- W2555421950 date "2012-01-01" @default.
- W2555421950 modified "2023-09-26" @default.
- W2555421950 title "On !−Continuous Functions" @default.
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