A-paracompact space

In topology, an **A-paracompact space** is a generalization of the notion of paracompactness that is defined in terms of certain open covers. A topological space \( X \) is said to be **A-paracompact** if every open cover of \( X \) has a locally finite open refinement, where a refinement of an open cover is another cover that consists of subsets of the original open sets.