In this paper, we introduce almost second countable spaces, almost first countable spaces and almost separable spaces which are generalisations of second countable, first countable and separable spaces, respectively. ...In this paper, we introduce almost second countable spaces, almost first countable spaces and almost separable spaces which are generalisations of second countable, first countable and separable spaces, respectively. We also study the prop-erties of the three new classes of spaces and almost Lindelof spaces and improve some results in [2].展开更多
文摘In this paper, we introduce almost second countable spaces, almost first countable spaces and almost separable spaces which are generalisations of second countable, first countable and separable spaces, respectively. We also study the prop-erties of the three new classes of spaces and almost Lindelof spaces and improve some results in [2].