$\text{G}_\mu$-Closed Sets and $\text{G}_m$-Closed Sets in GTMS Spaces

Tatsanee Wiangwiset, Chokchai Viriyapong, Butsakorn Kong-ied


The main purpose of this article is to introduce the concepts of $\text{G}_\mu$-closed sets

and $\text{G}_m$-closed sets, which are a weak forms of closed sets in a GTMS space.

Some of their properties are studied.

In particular, the characterizations of $\mu m\text{G}$-closed set and $m \mu \text{G}$-closed set

are obtained using $\text{G}_\mu$-closed and $\text{G}_m$-closed.

Moreover, the notions of $\text{GT}_1$-GTMS spaces and $\text{GT}_2$-GTMS spaces are suggested.

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The Thai Journal of Mathematics organized and supported by The Mathematical Association of Thailand and Thailand Research Council and the Center for Promotion of Mathematical Research of Thailand (CEPMART).

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|ISSN 1686-0209|