Separation properties of the Wallman ordered compactification

The Wallman ordered compactification ω0X of a topological ordered space X is T2-ordered (and hence equivalent to the Stone-Čech ordered compactification) iff X is a T4-ordered c-space. In particular, these two ordered compactifications are equivalent when X is n dimensional Euclidean space iff n≤2....

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Bibliographic Details
Main Authors: D. C. Kent, T. A. Richmond
Format: Article
Language:English
Published: Hindawi Limited 1990-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171290000321