On D-Paracompact spaces

AbstractFollowing Pareek a topological space X is called D-paracompact if for every open cover A of X there exists a continuous mapping f from X onto a developable T1-space Y and an open cover B of Y such that { f-1[B]|B ∈ B } refines A. It is shown that a space is D-paracompact if and only if it is subparacompact and D-expandable. Moreover, it is proved that D-paracompactness coincides with a covering property, called dissectability, which was introduced by the author in order to obtain a base characterization of developable spaces