Abstract
The notion of paracompactness in generalized topology is introduced and studied in [5]. In this paper, we introduce and investigate the notion of mu-paracompact spaces with respect to a hereditary class H, which is a generalization of the notion of mu-paracompact spaces. We study characterizations, subsets, and subspaces of mu H-paracompact spaces. Also, we investigate the invariants of mu H-paracompact spaces by functions.