Dense sets in weak structure and minimal structure
Commun. Korean Math. Soc. 2013 Vol. 28, No. 3, 589-596
https://doi.org/10.4134/CKMS.2013.28.3.589
Printed July 1, 2013
Shyamapada Modak
University of Gour Banga
Abstract : This paper is an attempt to study and introduce the notion of $\omega$-dense set in weak structures and the notion of $m$-dense set in minimal structures. We have also investigate the relationships between $\omega$-dense sets, $m$-dense sets, $\sigma(\omega)$ sets, $\pi(\omega)$ sets, $r(\omega)$ sets, $\beta(\omega)$ sets, $m$-{\it semiopen} sets and $m$-{\it preopen} sets. Further we give some representations of the above generalized sets in minimal structures as well as in weak structures.
Keywords : GTS, $m$-dense set, $m$-semiopen set, $m$-preopen set, $\omega$-dense set
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