Beta1-paracompactness with respect to an Ideal

Abstract

The notion of 1-paracompactness in topological spaces is introduced and studied in [1]. In this paper, we introduce and investigate the notion of \beta_1-paracompact spaces with respect to an ideal I which is a generalization of the notion of \beta_1-paracompact spaces. We study characterizations, subsets and subspaces of 1I-paracompact spaces. Also, we investigate the invariants of \beta_I-paracompact spaces by functions.