Monotone star statistical compactness in topological spaces

Аннотация

In this paper, we use statistical compact subspace as a toll 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.