科研之友
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摘要
By a space we mean a Tychonoff topological space. A remainder of a space X is the subspace bX / X of bX, where bX is a Hausdorff compactification of X. The closure of a subset A in the space X is denoted by (A) over bar (X), and (A) over bar stands for the closure of A in bX. In this paper, tau is an infinite cardinal. Remainders of a space X have many interesting properties and have been studied extensively in literature. A famous classical result in this study is the following theorem of Henriksen and Isbell [12]:
