Independent form of (θ, s)continuous functions in topological spaces
DOI:
https://doi.org/10.22199/issn.071762792020030031Keywords:
Almost contraprecontinuous functions, (θ, s)continuous functions, Almost contraPβcontinuous functions, Pβopen, topological spaceAbstract
We introduce a new class of almost contraP_{β}continuous functions which is a subclass of the class of almost contraprecontinuous functions [8]. This class contains the classes of regular set connected functions, perfectly continuous functions and contraP_{β}continuous functions. It is shown that almost contraP_{β}continuity is independent to (θ, s)continuity [12] and contraprecontinuity [11]. Furthermore, we obtain basic properties and preservations theorems for almost contraP_{β}continuity.
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