L-闭包空间的c-可数性

On c-countability in L-closure Spaces

在L-闭包空间中引入第一c-可数性和第二c-可数性等的概念,分别给出了它们的基本性质。分别证明了它们是可遗传的、可数可乘的和可数可加的,在L-同胚序同态下都保持不变等重要性质。

The concepts of the first and the second c-countability are introduced in L-closure space. Some basic properties of them are respectively given. That the first and the second c-countability are both hereditary property, countable multipcattve property and countable summability property and invariant property under c-homomorphic order-homomorphic are proved.