On $\beta_1-\mathcal{I}-$ Paracompact Spaces

Abstract

In this paper our aim is to introduce the class of $\beta_1-$paracompact spaces in ideal topological spaces. Then, some fundamental properties of $\beta_1-\mathcal{I}-$paracompact spaces are given. Also, the relationships between $\beta_1-\mathcal{I}-$paracompact spaces and other types of paracompact spaces are studied .