W-preopen sets and W-precontinuity in weak spaces

초록

The purpose of this short note is to introduce the notions of w-preopen set and W-precontinuity in w-spaces, which are generalizations of w-open sets and W-continuity, respectively. The notion of w-preopen set is introduced and studied some basic properties of such the notion. Moreover, w-preopen sets will be invoked to characterize the weak W-continuity. We also introduce W-precontinuous functions defined by w-preopen sets, and investigate its properties.

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