Original Articles

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

Published in: Quaestiones Mathematicae
Volume 25 , issue 3, pages: 381–396

DOI: 10.2989/16073600209486024

Author(s): H.L. Bentley, H. Herrlich,

Keywords: PRIME CLOSED FILTER, COMPACTIFICATION, ULTRAFILTER, T0 SPACE, SOBER SPACE, HEREDITARILY COMPACT SPACE, FUNCTOR, NATURAL TRANSFORMATION, INITIAL MAP, STRICT MAP, DENSE MAP,

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Abstract

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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Original Articles

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

Abstract

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