# zbMATH — the first resource for mathematics

The Freudenthal compactification. (English) Zbl 0658.54017
Let X be a rimcompact space. The Freudenthal compactification FX of X is the (topologically unique) compactification of X having the following properties: (1) the remainder FX$$\setminus X$$ is zero-dimensionally embedded (self-explanatory) in FX, (2) disjoint closed subsets in X having compact boundaries have disjoint closures in FX. In this paper the authors give an elementary development of the Freudenthal compactification.
Reviewer: J.van Mill

##### MSC:
 54D35 Extensions of spaces (compactifications, supercompactifications, completions, etc.)