Document Type : Research Paper

Authors

• Elif Turanli ¹
• Izzettin Demir ²
• Oya Bedre Ozbakir ¹

¹ Department of Mathematics, Ege University, 35100, Izmir, Turkey

² Department of Mathematics, Duzce University, 81620, Duzce, Turkey

Abstract

In this paper, we introduce the soft $\mathcal{I}$-paracompact spaces and the soft $\mathcal{I}$-S-paracompact spaces. First, we investigate the relationships between these spaces and soft paracompact spaces. Also, we give some fundamental properties of these spaces. Finally, we prove that soft $\mathcal{I}$-S-paracompact spaces are invariant under perfect mappings.

Keywords

• Soft set
• soft ideal
• soft paracompact space
• soft S-paracompact space
• soft $\mathcal{I}$-paracompact space
• soft $\mathcal{I}$-S-paracompact space
• soft perfect mapping