2005•Journal of Chengdu University of TechnologyRequires access
The inverse limits of normal weakly ■-refinable spaces
JI Guang-yue
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Abstract
This paper proves the following results: Let X=(lim)←{X_σ,π~σ_ρ,Λ},|Λ|=λ,and every π_σ:X→X_σ be open and ontomapping,(1) if X is λ-paracompact and every X_σ is normal and weakly θ-refinable,then X is normal and weakly θ-refinable;(2) if X is hereditarily λ-paracompact and every X_σ is hereditarily normal and hereditarily weakly θ-refinable,then X is hereditarily normal and hereditarily weakly θ-refinable.