2002•Journal of Sichuan Normal UniversityRequires access
Inverse Limits in Weakly -refinable Spaces
Zejun Li
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Abstract
This paper proves 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.