Abstract

We present a pointfree characterization of paracompactness via strong Cauchy completeness. We also provide a filter characterization of separability in uniform frames and determine those uniform frames that have a Lindelof and compact completion using the notion of preparacompactness. Further, as an application of preparacompactness, we provide filter conditions for the Lindelofness of the Hewitt realcompactification υL of a completely regular frame L.

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