【摘要】 证明了在逆序列的情形下,可遮空间、强可遮空间在假设X是可数仿紧空间的条件下可被其极限空间保持,进一步证明了遗传可遮,遗传强可遮及遗传σ-亚紧性在无需对投射及极限空间X做任何假设的情况下即可被其逆极限空间保持.作为上述两个结果的应用,分别给出了两个相关的可数Tychonoff乘积定理.更多还原

【Abstract】 In the case of inverse sequence,the screenability and strongly screenability can be preserved by the inverse limit spaces under the usually assumption of countable paracompactness of inverse limit spaces.Furthermore the hereditarily screenability,hereditarily strongly screenability and hereditarily σ-metacompactness can be preserved by the inverse limit spaces even without any assumption of the projections and the inverse limit spaces.As some applications,two theorems about countable Tychonoff product properties are given.更多还原