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.
Bhardwaj, M., Tyagi, B. K., & Singh, S. (2021). On $S\mathcal{I}H$-property and $SS\mathcal{I}H$-property in topological spaces. Khayyam Journal of Mathematics, 7(1), 65-76. doi: 10.22034/kjm.2020.209741.1637
MLA
Manoj Bhardwaj; Brij Kishore Tyagi; Sumit Singh. "On $S\mathcal{I}H$-property and $SS\mathcal{I}H$-property in topological spaces". Khayyam Journal of Mathematics, 7, 1, 2021, 65-76. doi: 10.22034/kjm.2020.209741.1637
HARVARD
Bhardwaj, M., Tyagi, B. K., Singh, S. (2021). 'On $S\mathcal{I}H$-property and $SS\mathcal{I}H$-property in topological spaces', Khayyam Journal of Mathematics, 7(1), pp. 65-76. doi: 10.22034/kjm.2020.209741.1637
VANCOUVER
Bhardwaj, M., Tyagi, B. K., Singh, S. On $S\mathcal{I}H$-property and $SS\mathcal{I}H$-property in topological spaces. Khayyam Journal of Mathematics, 2021; 7(1): 65-76. doi: 10.22034/kjm.2020.209741.1637
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