【摘要】 设X是逆系统{Xα,παβ,Λ)的极限,∣Λ∣=λ,假设每个投射πα:X→Xα是开且到上的,X是λ-仿紧的,如果每个Xα是正规σ-满正规的,则X是正规σ-满正规的。进一步还可以得到遗传正规σ-满正规的类似结果.更多还原

【Abstract】 In this paper,we shall prove the following theorem:Let X be the inverse limit of an inverse system{Xα,παβ,Λ}and∣Λ∣=λ.Suppose each projections:πα:X→Xα is an open and onto map and X is λ-paracompact.If each Xσ is normal σ-full normal.then X is σ-full normal.the analogoue result for hereditarily normal σ-full normal spaces is obtained.更多还原