2000•Journal of Sichuan UniversityRequires access
ON INVERSE LIMITS OF WEAKLY REFINABLE SPACES
Zhu Pei
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Abstract
The author proved the following results: Let X= lim ←｛X σ,π σ ρ,Σ} and every π σ be open and onto mapping,(1) if X is ｜Σ｜ paracompact and every X σ is normal and weakly refinable, then X is normal and weakly refinable; (2) if X is hereditarily ｜Σ｜ paracompact and every X σ is hereditarily normal and hereditarily weakly refinable, then X is hereditarily normal and hereditarily weakly refinable.