Khayyam Journal of Mathematics

Khayyam Journal of Mathematics

On $S\mathcal{I}H$-property and $SS\mathcal{I}H$-property in topological spaces

Document Type : Original Article

Authors
1 University of Delhi, India
2 A.R.S.D. College, University of Delhi, India
Abstract
In this paper, we further investigated the $SS \mathcal{I} H$ and $S \mathcal{I} H$ properties introduced by Das et. al recently. It is shown that regular-closed $G_\delta$ subspace of $SS \mathcal{I} H$ (resp., $S \mathcal{I} H$) is not $SS \mathcal{I} H$ (resp., $S \mathcal{I} H$). The preservation properties of these spaces are studied under some maps. Also $SS \mathcal{I} H$ and $S \mathcal{I} H$ properties are investigated in Alexandroff space.
Keywords