Some types of soft paracompactness via soft ideals

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