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 .

Keywords

• paracompact,$\beta-$open set,$\beta_1-$paracompact,$\mathcal{I}-$paracompact

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