Abstract:
In this paper, we use statistical compact subspace as a tool to introduce the concept of monotone star s-compact space. This expands upon the work of S.G. Popvassilev, J.E. Porter, M. Matveev, L. Junqueira, R. Wilson, O. Alas, J. van Mill, and V. Tkachuk. Along with a comparison with different forms of compactness, several preservation like properties of monotone star s-compactness are investigated. More over a finite intersection like characterization of the space is established with the help of $\delta_0$-intersection property.
Keywords:natural density, open cover, compactness, statistical-compactness, star operator.
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