【摘要】 主要证明了如下两个结果 :设X =lim← {Xσ,πσρ,Σ}并且每个πσ 是开满映射 ,(1)如果X是 ｜Σ｜ 仿紧的且每个Χσ 是正规弱 θ 可加的 ,则X是正规弱 θ 可加的 ;(2 )如果X是遗传｜Σ｜ 仿紧的且每个Xσ 是遗传正规的遗传弱 θ 可加空间 ,则X是遗传正规的遗传弱 θ 可加空间 .更多还原

【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.更多还原