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On preparacompactness of uniform frames

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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 Lindelöf and compact completion using the notion of preparacompactness. Further, as an application of preparacompactness, we provide filter conditions for the Lindelöfness of the Hewitt realcompactification υL of a completely regular frame L.

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  1. Department of Mathematical Sciences, University of South Africa, P.O. Box 329, 0003, Unisa, South Africa

    Inderasan Naidoo

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  1. Inderasan Naidoo
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Correspondence to Inderasan Naidoo.

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Naidoo, I. On preparacompactness of uniform frames. Acta Math Hung 132, 253–268 (2011). https://doi.org/10.1007/s10474-011-0094-2

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  • DOI: https://doi.org/10.1007/s10474-011-0094-2

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