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Mapping theorems on submesocompact spaces. (English) Zbl 1080.54013

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.)
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