Some Properties of Quasi-paracompact and Strong Quasi-paracompact Spaces

Abstract:

      Liu Ying-Ming [ 1 ] defined quasi-paracompact and strong quasi-paracompact spaces which generalize both subparacompact spaces and metacompact spaces. At the Wuhu Conference on Topology (1979), Gao Guo-Shi pointed out that θ-refinable space is quasi-paracompact space and the converse is false, and the relation between quasi-paracompact spaces and weak θ-refinable spaces is unknown. In this paper, we answer the above question and abtain the following result.