• Communications of the Korean Mathematical Society
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• v.28 no.3
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• pp.589-596
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• 2013

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-semiopen sets and $m$-preopen sets. Further we give some representations of the above generalized sets in minimal structures as well as in weak structures.

• The Pure and Applied Mathematics
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• v.6 no.1
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• pp.13-16
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• 1999

We introduce the notion of the $\omega$-derived set and $\omega$-dense, and investigate some of their properties.

• Journal of the Korean Mathematical Society
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• v.51 no.4
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• pp.837-851
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• 2014

We consider ${\omega}$-chaos as defined by S. H. Li in 1993. We show that c-dense ${\omega}$-scrambled sets are present in every transitive system with two-sided limit shadowing property (TSLmSP) and that every transitive map on topological graph has a dense Mycielski ${\omega}$-scrambled set. As a preliminary step, we provide a characterization of dynamical properties of maps with TSLmSP.

• Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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• 2003.07a
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• pp.203-207
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• 2003

Ion implantation has been shown to significantly alter the surface properties of polymers. Polycarbonate(PC) and Polyimide(PI) were irradiated with 50keV $N^+$, $Xe^+$ ions to the fluences of $1{\times}10^{16}{\sim}3{\times}10^{17}\;cm^2$. The ion beam-induced modification of the electrical conductivity and the related structural features have been studied for polymers. The beam-induced chemical and structural modifications have been investigated by using X-ray Phooelectron Spectroscopy(XPS) and Fourier Transform-Infrared Spectroscopy(FT-IR), while the modification of the electrical properties was followed by performing a complete set of sheet resistance measurements. Samples irradiated at higher fluence showed a good conductivity, with a saturation value of $10^7{\Omega}/sq$. The XPS data demonstrate that the modification of the electrical properties is due to the progressive formation with increasing ion fluence of a dense amorphous carbon network, while PF-IR data reveal that material degradations through bond breaking are the main effects.