Lω-空间的可数ω-紧性

The Countable Compactness in Space

研究了Lω-空间的可数ω-紧性。利用Hα-ω-开覆盖等概念,引进Lω-了空间的可数ω-紧性的概念,并证明了可数ω-紧性具有有限可和、对ω-闭子集遗传、被连续的广义Zadeh型函数所保持、L-good extension等许多性质。

The countable ω-compactness of Lω-space is discussed.By means of Hα-ω-open cover,the notion of the countable ω-compactness of Lω-space is introduced,it is proved that countable ω compactness has many properties.The sum of finite countable ωcompact sets is a countable ω-compact set,and hereditary with close subset,L-good extension.