期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：1993
卷号：16
DOI：10.1155/S0161171293000146
出版社：Hindawi Publishing Corporation
摘要：A new Wallman-type ordered compactification γ∘X is constructed using maximal CZ-filters
(which have filter bases obtained from increasing and decreasing zero sets) as the underlying set. A
necessary and sufficient condition is given for γ∘X to coincide with the Nachbin compactification β∘X; in
particular γ∘X=β∘X whenever X has the discrete order. The Wallman ordered compactification ω∘X
equals γ∘X whenever X is a subspace of Rn. It is shown that γ∘X is always T1, but can fail to be T1-ordered
or T2.
