W-semiopen sets and w-semicontinuity in weak spaces

초록

The purpose of this short note is to generalize w-open sets in w-spaces, say w-semiopen sets. First, we introduce the notion of w-semiopen sets and some basic properties of such the notion. Second, we introduce W-semicontinuous functions defined by w-semiopen sets and investigate characterizations of them by using the several types of operators. © 2016 Academic Publications, Ltd.

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