摘要
给出了复盖性质的如下结果:(1)具有可数高度的δθ-加细空间是弱δθ-加细空间;(2)空间X是亚紧的当且仅当它是几乎离散可膨胀且弱-可加细;(3)在PMEA假设下,第一可数仿紧T2狭义次拟仿紧空间是仿紧空间.
In this paper we proved that the results following: 1. A T1 δθ-refinable space with countable tighteness is weak -refinable space; 2. A Space is metacompact iff it is almost discretely expandable and weakly -refinable; 3. A first countable,countably paracompact T2 and strictly subquai-paracompact space is the paracompact space under the PMEA.
关键词
δθ-加细
弱δ-加细
亚紧空间
复盖性质
δθ-refinable
weak δ-refinable
metacompact space
strictly subquai-paracompact space
paracompact space