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On inversely \(\theta\)-semi-open and inversely \(\theta\)-semi-closed functions. (English) Zbl 1437.54010

Summary: In this paper, we introduce the concepts of inversely \(\theta\)-semi-open and inversely \(\theta\)-semi-closed functions and obtain their characterizations if it is possible in terms of \(\theta\)-closure and \(\theta\)-interior by using sets determined by the fibres of the function. Finally, we obtain their relationship with strongly \(\theta\)-continuous functions.

MSC:

54C08 Weak and generalized continuity
54C10 Special maps on topological spaces (open, closed, perfect, etc.)
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References:

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