2009•Journal of Sichuan Normal UniversityRequires access
On Inverse Limits of Weakly ■-Refinable Spaces
Yin Ji-chao
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Abstract
In this paper the following results are proved: Let X=lim←{Xσ,πσρ,σ} and every πσ be an open and onto mapping,(1) if X is |Σ|-paracompact and every Xσ is normal and weakly ■-refinable,then X is normal and weakly ■-refinable;(2) if X is hereditarily |Σ|-paracompact and every Xσ is hereditarily normal and hereditarily weakly ■-refinable,then X is hereditarily normal and hereditarily weakly ■-refinable.