Shen, Rongxin Mapping theorems on submesocompact spaces. (English) Zbl 1080.54013 J. Math. Study 38, No. 3, 298-301 (2005). Summary: We prove that closed Lindelöf mappings preserve and inversely preserve submeso-compactness on regular spaces, which improves the same result of Shou Lin for perfect mappings. MSC: 54D20 Noncompact covering properties (paracompact, Lindelöf, etc.) 54C10 Special maps on topological spaces (open, closed, perfect, etc.) Keywords:mesocompact mapping; closed Lindelöf mappings PDFBibTeX XMLCite \textit{R. Shen}, J. Math. Study 38, No. 3, 298--301 (2005; Zbl 1080.54013)