【摘要】 本文主要得到如下结果:设X是逆系统｛Xα,παβ,Λ｝的逆极限,Λ=,λ假设每个投射πα:X→Xα是开且到上的,X是λ-仿紧的,如果每一个Xα是σ-正紧的,则X是σ-正紧的,进一步还得到有遗传-σ正紧的类似结果。更多还原

【Abstract】 The following is proved: Let X be the inverse limit of an inverse system ｛Xα, παβ, Λ｝and λthe cardinal number of .Λ Suppose each projections πα: X→Xαis an open and onto map and X is -λparacompact. If each Xαis -σOrthocom- pect, then X is σ-Orthocompect. Moreover, the analogous results for hereditarily σ-Orthocompact are obtained.更多还原