A Characterization of the Prime Closed Filter Compactification of a Topological Space

The prime compactification whose points are the prime closed filters can be defined for a general topological space and is naturally functorial. We derive several properties of this compactification and present a characterization.

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Bibliographic Details
Published in:Quaestiones mathematicae 2002-09, Vol.25 (3), p.381-396
Main Authors: Bentley, H.L., Herrlich, H.
Format: Article
Language:English
Subjects:
COMPACTIFICATION
DENSE MAP
FUNCTOR
HEREDITARILY COMPACT SPACE
INITIAL MAP
NATURAL TRANSFORMATION
PRIME CLOSED FILTER
SOBER SPACE
STRICT MAP
T0 SPACE
ULTRAFILTER
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Description
Summary:The prime compactification whose points are the prime closed filters can be defined for a general topological space and is naturally functorial. We derive several properties of this compactification and present a characterization.
ISSN:1607-3606
1727-933X
DOI:10.2989/16073600209486024