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. https://doi.org/10.22034/kjm.2020.209741.1637
MLA
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, 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
CHICAGO
M. Bhardwaj, B. K. Tyagi & S. 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
VANCOUVER
Bhardwaj M., Tyagi B. K., Singh S. On $S\mathcal{I}H$-property and $SS\mathcal{I}H$-property in topological spaces. Khayyam J. Math. 2021;7(1):65-76. doi: 10.22034/kjm.2020.209741.1637