相对可数紧的一些性质(英文)

Some Properties on Relatively Countable Compactness

在本文中,我们主要研究了相对可数紧的一些性质,利用X上的局部有限族描述了相对可数紧性质,同时探究了相对可数紧性质与相对序列紧性质之间的关系.

In this paper, we mainly study some properties on relatively countable compactness. We give some characterizations of relatively countable compactness in terms of collections of subsets of X which are locally finite on X and investigate the relations between relatively countable compactness and relatively sequential compactness.